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Finding the Fourth Proportional to 2,424.61, 3,636.78 and 864.55

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Solution

The fourth proportional to 2,424.61, 3,636.78 and 864.55 is: 1,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.61 : 3,636.78 = 864.55 : x
  2. Step 2: Convert to fraction form
    2,424.61/3,636.78 = 864.55/x
  3. Step 3: Cross multiply
    2,424.61x = 3,636.78 × 864.55
  4. Step 4: Simplify right side
    2,424.61x = 3,144,178.15
  5. Step 5: Solve for x
    x = 3,144,178.15/2,424.61
  6. Step 6: Final answer
    x = 1,296.78

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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.