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Finding the Fourth Proportional to 2,404.64, 3,607.23 and 760.75

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Solution

The fourth proportional to 2,404.64, 3,607.23 and 760.75 is: 1,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.64 : 3,607.23 = 760.75 : x
  2. Step 2: Convert to fraction form
    2,404.64/3,607.23 = 760.75/x
  3. Step 3: Cross multiply
    2,404.64x = 3,607.23 × 760.75
  4. Step 4: Simplify right side
    2,404.64x = 2,744,200.22
  5. Step 5: Solve for x
    x = 2,744,200.22/2,404.64
  6. Step 6: Final answer
    x = 1,141.21

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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.