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Finding the Fourth Proportional to 2,126.28, 3,189.42 and 587.28

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Solution

The fourth proportional to 2,126.28, 3,189.42 and 587.28 is: 880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.28 : 3,189.42 = 587.28 : x
  2. Step 2: Convert to fraction form
    2,126.28/3,189.42 = 587.28/x
  3. Step 3: Cross multiply
    2,126.28x = 3,189.42 × 587.28
  4. Step 4: Simplify right side
    2,126.28x = 1,873,082.58
  5. Step 5: Solve for x
    x = 1,873,082.58/2,126.28
  6. Step 6: Final answer
    x = 880.92

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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.