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Finding the Fourth Proportional to 2,661.50, 3,672.97 and 1,482.65

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Solution

The fourth proportional to 2,661.50, 3,672.97 and 1,482.65 is: 2,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.50 : 3,672.97 = 1,482.65 : x
  2. Step 2: Convert to fraction form
    2,661.50/3,672.97 = 1,482.65/x
  3. Step 3: Cross multiply
    2,661.50x = 3,672.97 × 1,482.65
  4. Step 4: Simplify right side
    2,661.50x = 5,445,706.90
  5. Step 5: Solve for x
    x = 5,445,706.90/2,661.50
  6. Step 6: Final answer
    x = 2,046.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.