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Finding the Fourth Proportional to 2,177.71, 3,005.27 and 1,282.05

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Solution

The fourth proportional to 2,177.71, 3,005.27 and 1,282.05 is: 1,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.71 : 3,005.27 = 1,282.05 : x
  2. Step 2: Convert to fraction form
    2,177.71/3,005.27 = 1,282.05/x
  3. Step 3: Cross multiply
    2,177.71x = 3,005.27 × 1,282.05
  4. Step 4: Simplify right side
    2,177.71x = 3,852,906.40
  5. Step 5: Solve for x
    x = 3,852,906.40/2,177.71
  6. Step 6: Final answer
    x = 1,769.25

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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.