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Finding the Fourth Proportional to 2,057.52, 3,087.41 and 1,354.72

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Solution

The fourth proportional to 2,057.52, 3,087.41 and 1,354.72 is: 2,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.52 : 3,087.41 = 1,354.72 : x
  2. Step 2: Convert to fraction form
    2,057.52/3,087.41 = 1,354.72/x
  3. Step 3: Cross multiply
    2,057.52x = 3,087.41 × 1,354.72
  4. Step 4: Simplify right side
    2,057.52x = 4,182,561.58
  5. Step 5: Solve for x
    x = 4,182,561.58/2,057.52
  6. Step 6: Final answer
    x = 2,032.82

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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.