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Finding the Fourth Proportional to 2,449.80, 3,676.12 and 1,063.08

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Solution

The fourth proportional to 2,449.80, 3,676.12 and 1,063.08 is: 1,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.80 : 3,676.12 = 1,063.08 : x
  2. Step 2: Convert to fraction form
    2,449.80/3,676.12 = 1,063.08/x
  3. Step 3: Cross multiply
    2,449.80x = 3,676.12 × 1,063.08
  4. Step 4: Simplify right side
    2,449.80x = 3,908,009.65
  5. Step 5: Solve for x
    x = 3,908,009.65/2,449.80
  6. Step 6: Final answer
    x = 1,595.24

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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.