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Finding the Fourth Proportional to 1,524.57, 2,102.00 and 1,244.52

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Solution

The fourth proportional to 1,524.57, 2,102.00 and 1,244.52 is: 1,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.57 : 2,102.00 = 1,244.52 : x
  2. Step 2: Convert to fraction form
    1,524.57/2,102.00 = 1,244.52/x
  3. Step 3: Cross multiply
    1,524.57x = 2,102.00 × 1,244.52
  4. Step 4: Simplify right side
    1,524.57x = 2,615,974.82
  5. Step 5: Solve for x
    x = 2,615,974.82/1,524.57
  6. Step 6: Final answer
    x = 1,715.88

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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.