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Finding the Fourth Proportional to 2,562.32, 3,535.86 and 1,443.24

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Solution

The fourth proportional to 2,562.32, 3,535.86 and 1,443.24 is: 1,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.32 : 3,535.86 = 1,443.24 : x
  2. Step 2: Convert to fraction form
    2,562.32/3,535.86 = 1,443.24/x
  3. Step 3: Cross multiply
    2,562.32x = 3,535.86 × 1,443.24
  4. Step 4: Simplify right side
    2,562.32x = 5,103,094.59
  5. Step 5: Solve for x
    x = 5,103,094.59/2,562.32
  6. Step 6: Final answer
    x = 1,991.59

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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.