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Finding the Fourth Proportional to 2,666.48, 3,992.20 and 1,414.22

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Solution

The fourth proportional to 2,666.48, 3,992.20 and 1,414.22 is: 2,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.48 : 3,992.20 = 1,414.22 : x
  2. Step 2: Convert to fraction form
    2,666.48/3,992.20 = 1,414.22/x
  3. Step 3: Cross multiply
    2,666.48x = 3,992.20 × 1,414.22
  4. Step 4: Simplify right side
    2,666.48x = 5,645,849.08
  5. Step 5: Solve for x
    x = 5,645,849.08/2,666.48
  6. Step 6: Final answer
    x = 2,117.34

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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.