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Finding the Fourth Proportional to 2,424.74, 3,637.10 and 1,602.83

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Solution

The fourth proportional to 2,424.74, 3,637.10 and 1,602.83 is: 2,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.74 : 3,637.10 = 1,602.83 : x
  2. Step 2: Convert to fraction form
    2,424.74/3,637.10 = 1,602.83/x
  3. Step 3: Cross multiply
    2,424.74x = 3,637.10 × 1,602.83
  4. Step 4: Simplify right side
    2,424.74x = 5,829,626.79
  5. Step 5: Solve for x
    x = 5,829,626.79/2,424.74
  6. Step 6: Final answer
    x = 2,404.23

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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.