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Finding the Fourth Proportional to 3,138.42, 4,703.94 and 1,288.62

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Solution

The fourth proportional to 3,138.42, 4,703.94 and 1,288.62 is: 1,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.42 : 4,703.94 = 1,288.62 : x
  2. Step 2: Convert to fraction form
    3,138.42/4,703.94 = 1,288.62/x
  3. Step 3: Cross multiply
    3,138.42x = 4,703.94 × 1,288.62
  4. Step 4: Simplify right side
    3,138.42x = 6,061,591.16
  5. Step 5: Solve for x
    x = 6,061,591.16/3,138.42
  6. Step 6: Final answer
    x = 1,931.41

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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.