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Finding the Fourth Proportional to 2,166.54, 2,989.92 and 1,282.32

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Solution

The fourth proportional to 2,166.54, 2,989.92 and 1,282.32 is: 1,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.54 : 2,989.92 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    2,166.54/2,989.92 = 1,282.32/x
  3. Step 3: Cross multiply
    2,166.54x = 2,989.92 × 1,282.32
  4. Step 4: Simplify right side
    2,166.54x = 3,834,034.21
  5. Step 5: Solve for x
    x = 3,834,034.21/2,166.54
  6. Step 6: Final answer
    x = 1,769.66

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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.