Home / 1,462.24-2,017.74-965.44

Finding the Fourth Proportional to 1,462.24, 2,017.74 and 965.44

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Solution

The fourth proportional to 1,462.24, 2,017.74 and 965.44 is: 1,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.24 : 2,017.74 = 965.44 : x
  2. Step 2: Convert to fraction form
    1,462.24/2,017.74 = 965.44/x
  3. Step 3: Cross multiply
    1,462.24x = 2,017.74 × 965.44
  4. Step 4: Simplify right side
    1,462.24x = 1,948,006.91
  5. Step 5: Solve for x
    x = 1,948,006.91/1,462.24
  6. Step 6: Final answer
    x = 1,332.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.