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Finding the Fourth Proportional to 3,126.85, 4,690.90 and 1,278.11

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Solution

The fourth proportional to 3,126.85, 4,690.90 and 1,278.11 is: 1,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.85 : 4,690.90 = 1,278.11 : x
  2. Step 2: Convert to fraction form
    3,126.85/4,690.90 = 1,278.11/x
  3. Step 3: Cross multiply
    3,126.85x = 4,690.90 × 1,278.11
  4. Step 4: Simplify right side
    3,126.85x = 5,995,499.52
  5. Step 5: Solve for x
    x = 5,995,499.52/3,126.85
  6. Step 6: Final answer
    x = 1,917.43

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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.