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Finding the Fourth Proportional to 3,126.96, 4,689.36 and 1,278

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Solution

The fourth proportional to 3,126.96, 4,689.36 and 1,278 is: 1,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.96 : 4,689.36 = 1,278 : x
  2. Step 2: Convert to fraction form
    3,126.96/4,689.36 = 1,278/x
  3. Step 3: Cross multiply
    3,126.96x = 4,689.36 × 1,278
  4. Step 4: Simplify right side
    3,126.96x = 5,993,002.08
  5. Step 5: Solve for x
    x = 5,993,002.08/3,126.96
  6. Step 6: Final answer
    x = 1,916.56

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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.