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Finding the Fourth Proportional to 2,078.79, 2,867.13 and 1,449.32

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Solution

The fourth proportional to 2,078.79, 2,867.13 and 1,449.32 is: 1,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.79 : 2,867.13 = 1,449.32 : x
  2. Step 2: Convert to fraction form
    2,078.79/2,867.13 = 1,449.32/x
  3. Step 3: Cross multiply
    2,078.79x = 2,867.13 × 1,449.32
  4. Step 4: Simplify right side
    2,078.79x = 4,155,374.52
  5. Step 5: Solve for x
    x = 4,155,374.52/2,078.79
  6. Step 6: Final answer
    x = 1,998.94

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