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Finding the Fourth Proportional to 2,666.50, 3,998.04 and 1,107.58

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Solution

The fourth proportional to 2,666.50, 3,998.04 and 1,107.58 is: 1,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.50 : 3,998.04 = 1,107.58 : x
  2. Step 2: Convert to fraction form
    2,666.50/3,998.04 = 1,107.58/x
  3. Step 3: Cross multiply
    2,666.50x = 3,998.04 × 1,107.58
  4. Step 4: Simplify right side
    2,666.50x = 4,428,145.61
  5. Step 5: Solve for x
    x = 4,428,145.61/2,666.50
  6. Step 6: Final answer
    x = 1,660.66

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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.