Home / 2,049.90-3,075.12-589.20

Finding the Fourth Proportional to 2,049.90, 3,075.12 and 589.20

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Solution

The fourth proportional to 2,049.90, 3,075.12 and 589.20 is: 883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.90 : 3,075.12 = 589.20 : x
  2. Step 2: Convert to fraction form
    2,049.90/3,075.12 = 589.20/x
  3. Step 3: Cross multiply
    2,049.90x = 3,075.12 × 589.20
  4. Step 4: Simplify right side
    2,049.90x = 1,811,860.70
  5. Step 5: Solve for x
    x = 1,811,860.70/2,049.90
  6. Step 6: Final answer
    x = 883.88

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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.