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Finding the Fourth Proportional to 2,441.97, 3,658.10 and 1,139.49

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Solution

The fourth proportional to 2,441.97, 3,658.10 and 1,139.49 is: 1,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.97 : 3,658.10 = 1,139.49 : x
  2. Step 2: Convert to fraction form
    2,441.97/3,658.10 = 1,139.49/x
  3. Step 3: Cross multiply
    2,441.97x = 3,658.10 × 1,139.49
  4. Step 4: Simplify right side
    2,441.97x = 4,168,362.67
  5. Step 5: Solve for x
    x = 4,168,362.67/2,441.97
  6. Step 6: Final answer
    x = 1,706.97

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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.