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Finding the Fourth Proportional to 2,113.14, 3,168.99 and 879.87

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Solution

The fourth proportional to 2,113.14, 3,168.99 and 879.87 is: 1,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.14 : 3,168.99 = 879.87 : x
  2. Step 2: Convert to fraction form
    2,113.14/3,168.99 = 879.87/x
  3. Step 3: Cross multiply
    2,113.14x = 3,168.99 × 879.87
  4. Step 4: Simplify right side
    2,113.14x = 2,788,299.23
  5. Step 5: Solve for x
    x = 2,788,299.23/2,113.14
  6. Step 6: Final answer
    x = 1,319.51

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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.