Home / 1,454.20-2,006.43-864.40

Finding the Fourth Proportional to 1,454.20, 2,006.43 and 864.40

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Solution

The fourth proportional to 1,454.20, 2,006.43 and 864.40 is: 1,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.20 : 2,006.43 = 864.40 : x
  2. Step 2: Convert to fraction form
    1,454.20/2,006.43 = 864.40/x
  3. Step 3: Cross multiply
    1,454.20x = 2,006.43 × 864.40
  4. Step 4: Simplify right side
    1,454.20x = 1,734,358.09
  5. Step 5: Solve for x
    x = 1,734,358.09/1,454.20
  6. Step 6: Final answer
    x = 1,192.65

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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.