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Finding the Fourth Proportional to 2,140.43, 3,211.38 and 891.69

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Solution

The fourth proportional to 2,140.43, 3,211.38 and 891.69 is: 1,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.43 : 3,211.38 = 891.69 : x
  2. Step 2: Convert to fraction form
    2,140.43/3,211.38 = 891.69/x
  3. Step 3: Cross multiply
    2,140.43x = 3,211.38 × 891.69
  4. Step 4: Simplify right side
    2,140.43x = 2,863,555.43
  5. Step 5: Solve for x
    x = 2,863,555.43/2,140.43
  6. Step 6: Final answer
    x = 1,337.84

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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.