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Finding the Fourth Proportional to 2,562.32, 3,843.96 and 830.72

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Solution

The fourth proportional to 2,562.32, 3,843.96 and 830.72 is: 1,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.32 : 3,843.96 = 830.72 : x
  2. Step 2: Convert to fraction form
    2,562.32/3,843.96 = 830.72/x
  3. Step 3: Cross multiply
    2,562.32x = 3,843.96 × 830.72
  4. Step 4: Simplify right side
    2,562.32x = 3,193,254.45
  5. Step 5: Solve for x
    x = 3,193,254.45/2,562.32
  6. Step 6: Final answer
    x = 1,246.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.