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Finding the Fourth Proportional to 2,317.96, 3,478.31 and 858.14

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Solution

The fourth proportional to 2,317.96, 3,478.31 and 858.14 is: 1,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.96 : 3,478.31 = 858.14 : x
  2. Step 2: Convert to fraction form
    2,317.96/3,478.31 = 858.14/x
  3. Step 3: Cross multiply
    2,317.96x = 3,478.31 × 858.14
  4. Step 4: Simplify right side
    2,317.96x = 2,984,876.94
  5. Step 5: Solve for x
    x = 2,984,876.94/2,317.96
  6. Step 6: Final answer
    x = 1,287.72

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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.