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Finding the Fourth Proportional to 1,872.25, 2,585.87 and 1,281.76

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Solution

The fourth proportional to 1,872.25, 2,585.87 and 1,281.76 is: 1,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.25 : 2,585.87 = 1,281.76 : x
  2. Step 2: Convert to fraction form
    1,872.25/2,585.87 = 1,281.76/x
  3. Step 3: Cross multiply
    1,872.25x = 2,585.87 × 1,281.76
  4. Step 4: Simplify right side
    1,872.25x = 3,314,464.73
  5. Step 5: Solve for x
    x = 3,314,464.73/1,872.25
  6. Step 6: Final answer
    x = 1,770.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.