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Finding the Fourth Proportional to 2,314.16, 3,471.72 and 1,082.96

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Solution

The fourth proportional to 2,314.16, 3,471.72 and 1,082.96 is: 1,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.16 : 3,471.72 = 1,082.96 : x
  2. Step 2: Convert to fraction form
    2,314.16/3,471.72 = 1,082.96/x
  3. Step 3: Cross multiply
    2,314.16x = 3,471.72 × 1,082.96
  4. Step 4: Simplify right side
    2,314.16x = 3,759,733.89
  5. Step 5: Solve for x
    x = 3,759,733.89/2,314.16
  6. Step 6: Final answer
    x = 1,624.66

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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.