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Finding the Fourth Proportional to 3,138.70, 4,704.45 and 1,288.90

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Solution

The fourth proportional to 3,138.70, 4,704.45 and 1,288.90 is: 1,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.70 : 4,704.45 = 1,288.90 : x
  2. Step 2: Convert to fraction form
    3,138.70/4,704.45 = 1,288.90/x
  3. Step 3: Cross multiply
    3,138.70x = 4,704.45 × 1,288.90
  4. Step 4: Simplify right side
    3,138.70x = 6,063,565.61
  5. Step 5: Solve for x
    x = 6,063,565.61/3,138.70
  6. Step 6: Final answer
    x = 1,931.87

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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.