Home / 1,988.12-2,982.33-527.23

Finding the Fourth Proportional to 1,988.12, 2,982.33 and 527.23

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Solution

The fourth proportional to 1,988.12, 2,982.33 and 527.23 is: 790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.12 : 2,982.33 = 527.23 : x
  2. Step 2: Convert to fraction form
    1,988.12/2,982.33 = 527.23/x
  3. Step 3: Cross multiply
    1,988.12x = 2,982.33 × 527.23
  4. Step 4: Simplify right side
    1,988.12x = 1,572,373.85
  5. Step 5: Solve for x
    x = 1,572,373.85/1,988.12
  6. Step 6: Final answer
    x = 790.88

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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.