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Finding the Fourth Proportional to 2,719.71, 3,752.37 and 1,524.57

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Solution

The fourth proportional to 2,719.71, 3,752.37 and 1,524.57 is: 2,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.71 : 3,752.37 = 1,524.57 : x
  2. Step 2: Convert to fraction form
    2,719.71/3,752.37 = 1,524.57/x
  3. Step 3: Cross multiply
    2,719.71x = 3,752.37 × 1,524.57
  4. Step 4: Simplify right side
    2,719.71x = 5,720,750.73
  5. Step 5: Solve for x
    x = 5,720,750.73/2,719.71
  6. Step 6: Final answer
    x = 2,103.44

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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.