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Finding the Fourth Proportional to 2,424.85, 3,637.32 and 781.41

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Solution

The fourth proportional to 2,424.85, 3,637.32 and 781.41 is: 1,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.85 : 3,637.32 = 781.41 : x
  2. Step 2: Convert to fraction form
    2,424.85/3,637.32 = 781.41/x
  3. Step 3: Cross multiply
    2,424.85x = 3,637.32 × 781.41
  4. Step 4: Simplify right side
    2,424.85x = 2,842,230.67
  5. Step 5: Solve for x
    x = 2,842,230.67/2,424.85
  6. Step 6: Final answer
    x = 1,172.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.