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Finding the Fourth Proportional to 2,449.64, 3,673.56 and 805.80

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Solution

The fourth proportional to 2,449.64, 3,673.56 and 805.80 is: 1,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.64 : 3,673.56 = 805.80 : x
  2. Step 2: Convert to fraction form
    2,449.64/3,673.56 = 805.80/x
  3. Step 3: Cross multiply
    2,449.64x = 3,673.56 × 805.80
  4. Step 4: Simplify right side
    2,449.64x = 2,960,154.65
  5. Step 5: Solve for x
    x = 2,960,154.65/2,449.64
  6. Step 6: Final answer
    x = 1,208.40

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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.