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Finding the Fourth Proportional to 2,318.46, 3,478.26 and 675.02

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Solution

The fourth proportional to 2,318.46, 3,478.26 and 675.02 is: 1,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.46 : 3,478.26 = 675.02 : x
  2. Step 2: Convert to fraction form
    2,318.46/3,478.26 = 675.02/x
  3. Step 3: Cross multiply
    2,318.46x = 3,478.26 × 675.02
  4. Step 4: Simplify right side
    2,318.46x = 2,347,906.29
  5. Step 5: Solve for x
    x = 2,347,906.29/2,318.46
  6. Step 6: Final answer
    x = 1,012.70

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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.