Home / 1,524.20-2,285.38-549.92

Finding the Fourth Proportional to 1,524.20, 2,285.38 and 549.92

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Solution

The fourth proportional to 1,524.20, 2,285.38 and 549.92 is: 824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.20 : 2,285.38 = 549.92 : x
  2. Step 2: Convert to fraction form
    1,524.20/2,285.38 = 549.92/x
  3. Step 3: Cross multiply
    1,524.20x = 2,285.38 × 549.92
  4. Step 4: Simplify right side
    1,524.20x = 1,256,776.17
  5. Step 5: Solve for x
    x = 1,256,776.17/1,524.20
  6. Step 6: Final answer
    x = 824.55

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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.