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Finding the Fourth Proportional to 2,404.48, 3,605.43 and 738.31

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Solution

The fourth proportional to 2,404.48, 3,605.43 and 738.31 is: 1,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.48 : 3,605.43 = 738.31 : x
  2. Step 2: Convert to fraction form
    2,404.48/3,605.43 = 738.31/x
  3. Step 3: Cross multiply
    2,404.48x = 3,605.43 × 738.31
  4. Step 4: Simplify right side
    2,404.48x = 2,661,925.02
  5. Step 5: Solve for x
    x = 2,661,925.02/2,404.48
  6. Step 6: Final answer
    x = 1,107.07

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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.