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Finding the Fourth Proportional to 2,113.26, 3,167.91 and 879.89

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Solution

The fourth proportional to 2,113.26, 3,167.91 and 879.89 is: 1,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.26 : 3,167.91 = 879.89 : x
  2. Step 2: Convert to fraction form
    2,113.26/3,167.91 = 879.89/x
  3. Step 3: Cross multiply
    2,113.26x = 3,167.91 × 879.89
  4. Step 4: Simplify right side
    2,113.26x = 2,787,396.49
  5. Step 5: Solve for x
    x = 2,787,396.49/2,113.26
  6. Step 6: Final answer
    x = 1,319.00

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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.