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Finding the Fourth Proportional to 3,130.20, 4,695.84 and 938.68

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Solution

The fourth proportional to 3,130.20, 4,695.84 and 938.68 is: 1,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.20 : 4,695.84 = 938.68 : x
  2. Step 2: Convert to fraction form
    3,130.20/4,695.84 = 938.68/x
  3. Step 3: Cross multiply
    3,130.20x = 4,695.84 × 938.68
  4. Step 4: Simplify right side
    3,130.20x = 4,407,891.09
  5. Step 5: Solve for x
    x = 4,407,891.09/3,130.20
  6. Step 6: Final answer
    x = 1,408.18

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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.