Home / 2,103.09-3,155.10-869.70

Finding the Fourth Proportional to 2,103.09, 3,155.10 and 869.70

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Solution

The fourth proportional to 2,103.09, 3,155.10 and 869.70 is: 1,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.09 : 3,155.10 = 869.70 : x
  2. Step 2: Convert to fraction form
    2,103.09/3,155.10 = 869.70/x
  3. Step 3: Cross multiply
    2,103.09x = 3,155.10 × 869.70
  4. Step 4: Simplify right side
    2,103.09x = 2,743,990.47
  5. Step 5: Solve for x
    x = 2,743,990.47/2,103.09
  6. Step 6: Final answer
    x = 1,304.74

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Why These Related Problems?

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