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Finding the Fourth Proportional to 1,882.80, 2,824.17 and 584.27

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Solution

The fourth proportional to 1,882.80, 2,824.17 and 584.27 is: 876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.80 : 2,824.17 = 584.27 : x
  2. Step 2: Convert to fraction form
    1,882.80/2,824.17 = 584.27/x
  3. Step 3: Cross multiply
    1,882.80x = 2,824.17 × 584.27
  4. Step 4: Simplify right side
    1,882.80x = 1,650,077.81
  5. Step 5: Solve for x
    x = 1,650,077.81/1,882.80
  6. Step 6: Final answer
    x = 876.40

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1.5x scale

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.