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Finding the Fourth Proportional to 2,404.55, 3,607.37 and 761.26

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Solution

The fourth proportional to 2,404.55, 3,607.37 and 761.26 is: 1,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.55 : 3,607.37 = 761.26 : x
  2. Step 2: Convert to fraction form
    2,404.55/3,607.37 = 761.26/x
  3. Step 3: Cross multiply
    2,404.55x = 3,607.37 × 761.26
  4. Step 4: Simplify right side
    2,404.55x = 2,746,142.68
  5. Step 5: Solve for x
    x = 2,746,142.68/2,404.55
  6. Step 6: Final answer
    x = 1,142.06

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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.