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Finding the Fourth Proportional to 1,508.71, 2,081.41 and 879.14

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Solution

The fourth proportional to 1,508.71, 2,081.41 and 879.14 is: 1,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.71 : 2,081.41 = 879.14 : x
  2. Step 2: Convert to fraction form
    1,508.71/2,081.41 = 879.14/x
  3. Step 3: Cross multiply
    1,508.71x = 2,081.41 × 879.14
  4. Step 4: Simplify right side
    1,508.71x = 1,829,850.79
  5. Step 5: Solve for x
    x = 1,829,850.79/1,508.71
  6. Step 6: Final answer
    x = 1,212.86

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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.