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Finding the Fourth Proportional to 2,934.57, 4,402.23 and 987.33

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Solution

The fourth proportional to 2,934.57, 4,402.23 and 987.33 is: 1,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.57 : 4,402.23 = 987.33 : x
  2. Step 2: Convert to fraction form
    2,934.57/4,402.23 = 987.33/x
  3. Step 3: Cross multiply
    2,934.57x = 4,402.23 × 987.33
  4. Step 4: Simplify right side
    2,934.57x = 4,346,453.75
  5. Step 5: Solve for x
    x = 4,346,453.75/2,934.57
  6. Step 6: Final answer
    x = 1,481.12

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