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Finding the Fourth Proportional to 2,314.19, 3,471.28 and 582.81

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Solution

The fourth proportional to 2,314.19, 3,471.28 and 582.81 is: 874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.19 : 3,471.28 = 582.81 : x
  2. Step 2: Convert to fraction form
    2,314.19/3,471.28 = 582.81/x
  3. Step 3: Cross multiply
    2,314.19x = 3,471.28 × 582.81
  4. Step 4: Simplify right side
    2,314.19x = 2,023,096.70
  5. Step 5: Solve for x
    x = 2,023,096.70/2,314.19
  6. Step 6: Final answer
    x = 874.21

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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.