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Finding the Fourth Proportional to 3,114.44, 4,671.60 and 1,471.76

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Solution

The fourth proportional to 3,114.44, 4,671.60 and 1,471.76 is: 2,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.44 : 4,671.60 = 1,471.76 : x
  2. Step 2: Convert to fraction form
    3,114.44/4,671.60 = 1,471.76/x
  3. Step 3: Cross multiply
    3,114.44x = 4,671.60 × 1,471.76
  4. Step 4: Simplify right side
    3,114.44x = 6,875,474.02
  5. Step 5: Solve for x
    x = 6,875,474.02/3,114.44
  6. Step 6: Final answer
    x = 2,207.61

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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.