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Finding the Fourth Proportional to 2,539.61, 3,806.27 and 1,152.55

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Solution

The fourth proportional to 2,539.61, 3,806.27 and 1,152.55 is: 1,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.61 : 3,806.27 = 1,152.55 : x
  2. Step 2: Convert to fraction form
    2,539.61/3,806.27 = 1,152.55/x
  3. Step 3: Cross multiply
    2,539.61x = 3,806.27 × 1,152.55
  4. Step 4: Simplify right side
    2,539.61x = 4,386,916.49
  5. Step 5: Solve for x
    x = 4,386,916.49/2,539.61
  6. Step 6: Final answer
    x = 1,727.40

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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.