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Finding the Fourth Proportional to 2,522.80, 3,787.71 and 1,291.06

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Solution

The fourth proportional to 2,522.80, 3,787.71 and 1,291.06 is: 1,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.80 : 3,787.71 = 1,291.06 : x
  2. Step 2: Convert to fraction form
    2,522.80/3,787.71 = 1,291.06/x
  3. Step 3: Cross multiply
    2,522.80x = 3,787.71 × 1,291.06
  4. Step 4: Simplify right side
    2,522.80x = 4,890,151.40
  5. Step 5: Solve for x
    x = 4,890,151.40/2,522.80
  6. Step 6: Final answer
    x = 1,938.38

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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.