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Finding the Fourth Proportional to 2,528.56, 3,792.71 and 969.31

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Solution

The fourth proportional to 2,528.56, 3,792.71 and 969.31 is: 1,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.56 : 3,792.71 = 969.31 : x
  2. Step 2: Convert to fraction form
    2,528.56/3,792.71 = 969.31/x
  3. Step 3: Cross multiply
    2,528.56x = 3,792.71 × 969.31
  4. Step 4: Simplify right side
    2,528.56x = 3,676,304.67
  5. Step 5: Solve for x
    x = 3,676,304.67/2,528.56
  6. Step 6: Final answer
    x = 1,453.91

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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.