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Finding the Fourth Proportional to 1,524.52, 2,101.88 and 1,250.66

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Solution

The fourth proportional to 1,524.52, 2,101.88 and 1,250.66 is: 1,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.52 : 2,101.88 = 1,250.66 : x
  2. Step 2: Convert to fraction form
    1,524.52/2,101.88 = 1,250.66/x
  3. Step 3: Cross multiply
    1,524.52x = 2,101.88 × 1,250.66
  4. Step 4: Simplify right side
    1,524.52x = 2,628,737.24
  5. Step 5: Solve for x
    x = 2,628,737.24/1,524.52
  6. Step 6: Final answer
    x = 1,724.30

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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.