Home / 1,525.03-2,286.17-537.13

Finding the Fourth Proportional to 1,525.03, 2,286.17 and 537.13

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Solution

The fourth proportional to 1,525.03, 2,286.17 and 537.13 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.03 : 2,286.17 = 537.13 : x
  2. Step 2: Convert to fraction form
    1,525.03/2,286.17 = 537.13/x
  3. Step 3: Cross multiply
    1,525.03x = 2,286.17 × 537.13
  4. Step 4: Simplify right side
    1,525.03x = 1,227,970.49
  5. Step 5: Solve for x
    x = 1,227,970.49/1,525.03
  6. Step 6: Final answer
    x = 805.21

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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.