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Finding the Fourth Proportional to 2,867.78, 3,957.46 and 1,688.92

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Solution

The fourth proportional to 2,867.78, 3,957.46 and 1,688.92 is: 2,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.78 : 3,957.46 = 1,688.92 : x
  2. Step 2: Convert to fraction form
    2,867.78/3,957.46 = 1,688.92/x
  3. Step 3: Cross multiply
    2,867.78x = 3,957.46 × 1,688.92
  4. Step 4: Simplify right side
    2,867.78x = 6,683,819.23
  5. Step 5: Solve for x
    x = 6,683,819.23/2,867.78
  6. Step 6: Final answer
    x = 2,330.66

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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.