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Finding the Fourth Proportional to 2,314.32, 3,471.40 and 582.96

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Solution

The fourth proportional to 2,314.32, 3,471.40 and 582.96 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.32 : 3,471.40 = 582.96 : x
  2. Step 2: Convert to fraction form
    2,314.32/3,471.40 = 582.96/x
  3. Step 3: Cross multiply
    2,314.32x = 3,471.40 × 582.96
  4. Step 4: Simplify right side
    2,314.32x = 2,023,687.34
  5. Step 5: Solve for x
    x = 2,023,687.34/2,314.32
  6. Step 6: Final answer
    x = 874.42

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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.