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Finding the Fourth Proportional to 2,424.89, 3,637.56 and 781.05

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Solution

The fourth proportional to 2,424.89, 3,637.56 and 781.05 is: 1,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.89 : 3,637.56 = 781.05 : x
  2. Step 2: Convert to fraction form
    2,424.89/3,637.56 = 781.05/x
  3. Step 3: Cross multiply
    2,424.89x = 3,637.56 × 781.05
  4. Step 4: Simplify right side
    2,424.89x = 2,841,116.24
  5. Step 5: Solve for x
    x = 2,841,116.24/2,424.89
  6. Step 6: Final answer
    x = 1,171.65

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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.