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Finding the Fourth Proportional to 2,867.75, 3,957.50 and 1,689.55

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Solution

The fourth proportional to 2,867.75, 3,957.50 and 1,689.55 is: 2,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.75 : 3,957.50 = 1,689.55 : x
  2. Step 2: Convert to fraction form
    2,867.75/3,957.50 = 1,689.55/x
  3. Step 3: Cross multiply
    2,867.75x = 3,957.50 × 1,689.55
  4. Step 4: Simplify right side
    2,867.75x = 6,686,394.13
  5. Step 5: Solve for x
    x = 6,686,394.13/2,867.75
  6. Step 6: Final answer
    x = 2,331.58

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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.