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Finding the Fourth Proportional to 3,115.54, 4,671.03 and 1,471.18

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Solution

The fourth proportional to 3,115.54, 4,671.03 and 1,471.18 is: 2,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.54 : 4,671.03 = 1,471.18 : x
  2. Step 2: Convert to fraction form
    3,115.54/4,671.03 = 1,471.18/x
  3. Step 3: Cross multiply
    3,115.54x = 4,671.03 × 1,471.18
  4. Step 4: Simplify right side
    3,115.54x = 6,871,925.92
  5. Step 5: Solve for x
    x = 6,871,925.92/3,115.54
  6. Step 6: Final answer
    x = 2,205.69

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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.