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Finding the Fourth Proportional to 2,127.50, 3,191.25 and 646.73

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Solution

The fourth proportional to 2,127.50, 3,191.25 and 646.73 is: 970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.50 : 3,191.25 = 646.73 : x
  2. Step 2: Convert to fraction form
    2,127.50/3,191.25 = 646.73/x
  3. Step 3: Cross multiply
    2,127.50x = 3,191.25 × 646.73
  4. Step 4: Simplify right side
    2,127.50x = 2,063,873.88
  5. Step 5: Solve for x
    x = 2,063,873.88/2,127.50
  6. Step 6: Final answer
    x = 970.10

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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.