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Finding the Fourth Proportional to 2,812, 3,867.60 and 2,462.08

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Solution

The fourth proportional to 2,812, 3,867.60 and 2,462.08 is: 3,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 3,867.60 = 2,462.08 : x
  2. Step 2: Convert to fraction form
    2,812/3,867.60 = 2,462.08/x
  3. Step 3: Cross multiply
    2,812x = 3,867.60 × 2,462.08
  4. Step 4: Simplify right side
    2,812x = 9,522,340.61
  5. Step 5: Solve for x
    x = 9,522,340.61/2,812
  6. Step 6: Final answer
    x = 3,386.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.