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Finding the Fourth Proportional to 2,101.88, 3,150.68 and 869.96

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Solution

The fourth proportional to 2,101.88, 3,150.68 and 869.96 is: 1,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.88 : 3,150.68 = 869.96 : x
  2. Step 2: Convert to fraction form
    2,101.88/3,150.68 = 869.96/x
  3. Step 3: Cross multiply
    2,101.88x = 3,150.68 × 869.96
  4. Step 4: Simplify right side
    2,101.88x = 2,740,945.47
  5. Step 5: Solve for x
    x = 2,740,945.47/2,101.88
  6. Step 6: Final answer
    x = 1,304.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.