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Finding the Fourth Proportional to 1,850.52, 2,554.85 and 1,761.72

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Solution

The fourth proportional to 1,850.52, 2,554.85 and 1,761.72 is: 2,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.52 : 2,554.85 = 1,761.72 : x
  2. Step 2: Convert to fraction form
    1,850.52/2,554.85 = 1,761.72/x
  3. Step 3: Cross multiply
    1,850.52x = 2,554.85 × 1,761.72
  4. Step 4: Simplify right side
    1,850.52x = 4,500,917.57
  5. Step 5: Solve for x
    x = 4,500,917.57/1,850.52
  6. Step 6: Final answer
    x = 2,432.24

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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.