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Finding the Fourth Proportional to 2,254.44, 3,379.47 and 866.70

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Solution

The fourth proportional to 2,254.44, 3,379.47 and 866.70 is: 1,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.44 : 3,379.47 = 866.70 : x
  2. Step 2: Convert to fraction form
    2,254.44/3,379.47 = 866.70/x
  3. Step 3: Cross multiply
    2,254.44x = 3,379.47 × 866.70
  4. Step 4: Simplify right side
    2,254.44x = 2,928,986.65
  5. Step 5: Solve for x
    x = 2,928,986.65/2,254.44
  6. Step 6: Final answer
    x = 1,299.21

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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.