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Finding the Fourth Proportional to 2,318.86, 3,478.79 and 675.55

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Solution

The fourth proportional to 2,318.86, 3,478.79 and 675.55 is: 1,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.86 : 3,478.79 = 675.55 : x
  2. Step 2: Convert to fraction form
    2,318.86/3,478.79 = 675.55/x
  3. Step 3: Cross multiply
    2,318.86x = 3,478.79 × 675.55
  4. Step 4: Simplify right side
    2,318.86x = 2,350,096.58
  5. Step 5: Solve for x
    x = 2,350,096.58/2,318.86
  6. Step 6: Final answer
    x = 1,013.47

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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.