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Finding the Fourth Proportional to 3,127.68, 4,691.52 and 819

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Solution

The fourth proportional to 3,127.68, 4,691.52 and 819 is: 1,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.68 : 4,691.52 = 819 : x
  2. Step 2: Convert to fraction form
    3,127.68/4,691.52 = 819/x
  3. Step 3: Cross multiply
    3,127.68x = 4,691.52 × 819
  4. Step 4: Simplify right side
    3,127.68x = 3,842,354.88
  5. Step 5: Solve for x
    x = 3,842,354.88/3,127.68
  6. Step 6: Final answer
    x = 1,228.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.