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Finding the Fourth Proportional to 2,101.97, 3,152.68 and 869.22

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Solution

The fourth proportional to 2,101.97, 3,152.68 and 869.22 is: 1,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.97 : 3,152.68 = 869.22 : x
  2. Step 2: Convert to fraction form
    2,101.97/3,152.68 = 869.22/x
  3. Step 3: Cross multiply
    2,101.97x = 3,152.68 × 869.22
  4. Step 4: Simplify right side
    2,101.97x = 2,740,370.34
  5. Step 5: Solve for x
    x = 2,740,370.34/2,101.97
  6. Step 6: Final answer
    x = 1,303.71

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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.