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Finding the Fourth Proportional to 2,867.35, 3,957.17 and 1,688.65

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Solution

The fourth proportional to 2,867.35, 3,957.17 and 1,688.65 is: 2,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.35 : 3,957.17 = 1,688.65 : x
  2. Step 2: Convert to fraction form
    2,867.35/3,957.17 = 1,688.65/x
  3. Step 3: Cross multiply
    2,867.35x = 3,957.17 × 1,688.65
  4. Step 4: Simplify right side
    2,867.35x = 6,682,275.12
  5. Step 5: Solve for x
    x = 6,682,275.12/2,867.35
  6. Step 6: Final answer
    x = 2,330.47

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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.