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Finding the Fourth Proportional to 2,666.44, 3,976.16 and 2,481.76

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Solution

The fourth proportional to 2,666.44, 3,976.16 and 2,481.76 is: 3,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.44 : 3,976.16 = 2,481.76 : x
  2. Step 2: Convert to fraction form
    2,666.44/3,976.16 = 2,481.76/x
  3. Step 3: Cross multiply
    2,666.44x = 3,976.16 × 2,481.76
  4. Step 4: Simplify right side
    2,666.44x = 9,867,874.84
  5. Step 5: Solve for x
    x = 9,867,874.84/2,666.44
  6. Step 6: Final answer
    x = 3,700.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.