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Finding the Fourth Proportional to 2,418.64, 3,627.57 and 686.86

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Solution

The fourth proportional to 2,418.64, 3,627.57 and 686.86 is: 1,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.64 : 3,627.57 = 686.86 : x
  2. Step 2: Convert to fraction form
    2,418.64/3,627.57 = 686.86/x
  3. Step 3: Cross multiply
    2,418.64x = 3,627.57 × 686.86
  4. Step 4: Simplify right side
    2,418.64x = 2,491,632.73
  5. Step 5: Solve for x
    x = 2,491,632.73/2,418.64
  6. Step 6: Final answer
    x = 1,030.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.