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Finding the Fourth Proportional to 3,114.38, 4,671.66 and 1,471.70

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Solution

The fourth proportional to 3,114.38, 4,671.66 and 1,471.70 is: 2,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.38 : 4,671.66 = 1,471.70 : x
  2. Step 2: Convert to fraction form
    3,114.38/4,671.66 = 1,471.70/x
  3. Step 3: Cross multiply
    3,114.38x = 4,671.66 × 1,471.70
  4. Step 4: Simplify right side
    3,114.38x = 6,875,282.02
  5. Step 5: Solve for x
    x = 6,875,282.02/3,114.38
  6. Step 6: Final answer
    x = 2,207.59

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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.