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Finding the Fourth Proportional to 2,403.60, 3,605.24 and 761.33

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Solution

The fourth proportional to 2,403.60, 3,605.24 and 761.33 is: 1,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.60 : 3,605.24 = 761.33 : x
  2. Step 2: Convert to fraction form
    2,403.60/3,605.24 = 761.33/x
  3. Step 3: Cross multiply
    2,403.60x = 3,605.24 × 761.33
  4. Step 4: Simplify right side
    2,403.60x = 2,744,755.54
  5. Step 5: Solve for x
    x = 2,744,755.54/2,403.60
  6. Step 6: Final answer
    x = 1,141.94

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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.