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Finding the Fourth Proportional to 2,562.76, 3,535.24 and 1,722.04

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Solution

The fourth proportional to 2,562.76, 3,535.24 and 1,722.04 is: 2,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.76 : 3,535.24 = 1,722.04 : x
  2. Step 2: Convert to fraction form
    2,562.76/3,535.24 = 1,722.04/x
  3. Step 3: Cross multiply
    2,562.76x = 3,535.24 × 1,722.04
  4. Step 4: Simplify right side
    2,562.76x = 6,087,824.69
  5. Step 5: Solve for x
    x = 6,087,824.69/2,562.76
  6. Step 6: Final answer
    x = 2,375.50

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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.