Home / 1,524.20-2,283.84-795.20

Finding the Fourth Proportional to 1,524.20, 2,283.84 and 795.20

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Solution

The fourth proportional to 1,524.20, 2,283.84 and 795.20 is: 1,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.20 : 2,283.84 = 795.20 : x
  2. Step 2: Convert to fraction form
    1,524.20/2,283.84 = 795.20/x
  3. Step 3: Cross multiply
    1,524.20x = 2,283.84 × 795.20
  4. Step 4: Simplify right side
    1,524.20x = 1,816,098.15
  5. Step 5: Solve for x
    x = 1,816,098.15/1,524.20
  6. Step 6: Final answer
    x = 1,191.51

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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.