Home / 1,424.10-2,136.15-869.70

Finding the Fourth Proportional to 1,424.10, 2,136.15 and 869.70

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Solution

The fourth proportional to 1,424.10, 2,136.15 and 869.70 is: 1,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.10 : 2,136.15 = 869.70 : x
  2. Step 2: Convert to fraction form
    1,424.10/2,136.15 = 869.70/x
  3. Step 3: Cross multiply
    1,424.10x = 2,136.15 × 869.70
  4. Step 4: Simplify right side
    1,424.10x = 1,857,809.66
  5. Step 5: Solve for x
    x = 1,857,809.66/1,424.10
  6. Step 6: Final answer
    x = 1,304.55

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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.