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Finding the Fourth Proportional to 2,102.81, 2,901.88 and 1,171.31

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Solution

The fourth proportional to 2,102.81, 2,901.88 and 1,171.31 is: 1,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.81 : 2,901.88 = 1,171.31 : x
  2. Step 2: Convert to fraction form
    2,102.81/2,901.88 = 1,171.31/x
  3. Step 3: Cross multiply
    2,102.81x = 2,901.88 × 1,171.31
  4. Step 4: Simplify right side
    2,102.81x = 3,399,009.78
  5. Step 5: Solve for x
    x = 3,399,009.78/2,102.81
  6. Step 6: Final answer
    x = 1,616.41

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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.