Home / 1,882.25-2,823.40-565.72

Finding the Fourth Proportional to 1,882.25, 2,823.40 and 565.72

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Solution

The fourth proportional to 1,882.25, 2,823.40 and 565.72 is: 848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.25 : 2,823.40 = 565.72 : x
  2. Step 2: Convert to fraction form
    1,882.25/2,823.40 = 565.72/x
  3. Step 3: Cross multiply
    1,882.25x = 2,823.40 × 565.72
  4. Step 4: Simplify right side
    1,882.25x = 1,597,253.85
  5. Step 5: Solve for x
    x = 1,597,253.85/1,882.25
  6. Step 6: Final answer
    x = 848.59

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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.