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Finding the Fourth Proportional to 2,756.60, 4,132.20 and 2,428.55

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Solution

The fourth proportional to 2,756.60, 4,132.20 and 2,428.55 is: 3,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.60 : 4,132.20 = 2,428.55 : x
  2. Step 2: Convert to fraction form
    2,756.60/4,132.20 = 2,428.55/x
  3. Step 3: Cross multiply
    2,756.60x = 4,132.20 × 2,428.55
  4. Step 4: Simplify right side
    2,756.60x = 10,035,254.31
  5. Step 5: Solve for x
    x = 10,035,254.31/2,756.60
  6. Step 6: Final answer
    x = 3,640.45

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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.