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Finding the Fourth Proportional to 2,528.71, 3,792.46 and 1,295.49

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Solution

The fourth proportional to 2,528.71, 3,792.46 and 1,295.49 is: 1,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.71 : 3,792.46 = 1,295.49 : x
  2. Step 2: Convert to fraction form
    2,528.71/3,792.46 = 1,295.49/x
  3. Step 3: Cross multiply
    2,528.71x = 3,792.46 × 1,295.49
  4. Step 4: Simplify right side
    2,528.71x = 4,913,068.57
  5. Step 5: Solve for x
    x = 4,913,068.57/2,528.71
  6. Step 6: Final answer
    x = 1,942.91

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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.