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Finding the Fourth Proportional to 2,715.70, 4,056.86 and 2,168.86

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Solution

The fourth proportional to 2,715.70, 4,056.86 and 2,168.86 is: 3,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.70 : 4,056.86 = 2,168.86 : x
  2. Step 2: Convert to fraction form
    2,715.70/4,056.86 = 2,168.86/x
  3. Step 3: Cross multiply
    2,715.70x = 4,056.86 × 2,168.86
  4. Step 4: Simplify right side
    2,715.70x = 8,798,761.38
  5. Step 5: Solve for x
    x = 8,798,761.38/2,715.70
  6. Step 6: Final answer
    x = 3,239.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.