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Finding the Fourth Proportional to 2,161.40, 3,242.40 and 844.92

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Solution

The fourth proportional to 2,161.40, 3,242.40 and 844.92 is: 1,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.40 : 3,242.40 = 844.92 : x
  2. Step 2: Convert to fraction form
    2,161.40/3,242.40 = 844.92/x
  3. Step 3: Cross multiply
    2,161.40x = 3,242.40 × 844.92
  4. Step 4: Simplify right side
    2,161.40x = 2,739,568.61
  5. Step 5: Solve for x
    x = 2,739,568.61/2,161.40
  6. Step 6: Final answer
    x = 1,267.50

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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.