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Finding the Fourth Proportional to 2,404.48, 3,606.18 and 761

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Solution

The fourth proportional to 2,404.48, 3,606.18 and 761 is: 1,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.48 : 3,606.18 = 761 : x
  2. Step 2: Convert to fraction form
    2,404.48/3,606.18 = 761/x
  3. Step 3: Cross multiply
    2,404.48x = 3,606.18 × 761
  4. Step 4: Simplify right side
    2,404.48x = 2,744,302.98
  5. Step 5: Solve for x
    x = 2,744,302.98/2,404.48
  6. Step 6: Final answer
    x = 1,141.33

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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.