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Finding the Fourth Proportional to 3,441.65, 5,162.48 and 844.57

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Solution

The fourth proportional to 3,441.65, 5,162.48 and 844.57 is: 1,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.65 : 5,162.48 = 844.57 : x
  2. Step 2: Convert to fraction form
    3,441.65/5,162.48 = 844.57/x
  3. Step 3: Cross multiply
    3,441.65x = 5,162.48 × 844.57
  4. Step 4: Simplify right side
    3,441.65x = 4,360,075.73
  5. Step 5: Solve for x
    x = 4,360,075.73/3,441.65
  6. Step 6: Final answer
    x = 1,266.86

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Double scale
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Similar ratio
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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.