Home / 1,525.20-2,287.15-537.71

Finding the Fourth Proportional to 1,525.20, 2,287.15 and 537.71

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Solution

The fourth proportional to 1,525.20, 2,287.15 and 537.71 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.20 : 2,287.15 = 537.71 : x
  2. Step 2: Convert to fraction form
    1,525.20/2,287.15 = 537.71/x
  3. Step 3: Cross multiply
    1,525.20x = 2,287.15 × 537.71
  4. Step 4: Simplify right side
    1,525.20x = 1,229,823.43
  5. Step 5: Solve for x
    x = 1,229,823.43/1,525.20
  6. Step 6: Final answer
    x = 806.34

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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.