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Finding the Fourth Proportional to 2,254.34, 3,379.92 and 866.51

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Solution

The fourth proportional to 2,254.34, 3,379.92 and 866.51 is: 1,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.34 : 3,379.92 = 866.51 : x
  2. Step 2: Convert to fraction form
    2,254.34/3,379.92 = 866.51/x
  3. Step 3: Cross multiply
    2,254.34x = 3,379.92 × 866.51
  4. Step 4: Simplify right side
    2,254.34x = 2,928,734.48
  5. Step 5: Solve for x
    x = 2,928,734.48/2,254.34
  6. Step 6: Final answer
    x = 1,299.15

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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.