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Finding the Fourth Proportional to 1,586.91, 2,189.97 and 878.79

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Solution

The fourth proportional to 1,586.91, 2,189.97 and 878.79 is: 1,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.91 : 2,189.97 = 878.79 : x
  2. Step 2: Convert to fraction form
    1,586.91/2,189.97 = 878.79/x
  3. Step 3: Cross multiply
    1,586.91x = 2,189.97 × 878.79
  4. Step 4: Simplify right side
    1,586.91x = 1,924,523.74
  5. Step 5: Solve for x
    x = 1,924,523.74/1,586.91
  6. Step 6: Final answer
    x = 1,212.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.