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Finding the Fourth Proportional to 2,867.93, 3,957.58 and 1,591.74

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Solution

The fourth proportional to 2,867.93, 3,957.58 and 1,591.74 is: 2,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.93 : 3,957.58 = 1,591.74 : x
  2. Step 2: Convert to fraction form
    2,867.93/3,957.58 = 1,591.74/x
  3. Step 3: Cross multiply
    2,867.93x = 3,957.58 × 1,591.74
  4. Step 4: Simplify right side
    2,867.93x = 6,299,431.43
  5. Step 5: Solve for x
    x = 6,299,431.43/2,867.93
  6. Step 6: Final answer
    x = 2,196.51

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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.