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Finding the Fourth Proportional to 2,441.16, 3,661.52 and 686.02

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Solution

The fourth proportional to 2,441.16, 3,661.52 and 686.02 is: 1,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.16 : 3,661.52 = 686.02 : x
  2. Step 2: Convert to fraction form
    2,441.16/3,661.52 = 686.02/x
  3. Step 3: Cross multiply
    2,441.16x = 3,661.52 × 686.02
  4. Step 4: Simplify right side
    2,441.16x = 2,511,875.95
  5. Step 5: Solve for x
    x = 2,511,875.95/2,441.16
  6. Step 6: Final answer
    x = 1,028.97

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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.