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Finding the Fourth Proportional to 2,404.98, 3,607.65 and 761.61

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Solution

The fourth proportional to 2,404.98, 3,607.65 and 761.61 is: 1,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.98 : 3,607.65 = 761.61 : x
  2. Step 2: Convert to fraction form
    2,404.98/3,607.65 = 761.61/x
  3. Step 3: Cross multiply
    2,404.98x = 3,607.65 × 761.61
  4. Step 4: Simplify right side
    2,404.98x = 2,747,622.32
  5. Step 5: Solve for x
    x = 2,747,622.32/2,404.98
  6. Step 6: Final answer
    x = 1,142.47

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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.