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Finding the Fourth Proportional to 2,048.92, 3,071.78 and 953.14

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Solution

The fourth proportional to 2,048.92, 3,071.78 and 953.14 is: 1,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.92 : 3,071.78 = 953.14 : x
  2. Step 2: Convert to fraction form
    2,048.92/3,071.78 = 953.14/x
  3. Step 3: Cross multiply
    2,048.92x = 3,071.78 × 953.14
  4. Step 4: Simplify right side
    2,048.92x = 2,927,827.52
  5. Step 5: Solve for x
    x = 2,927,827.52/2,048.92
  6. Step 6: Final answer
    x = 1,428.96

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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.