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Finding the Fourth Proportional to 2,449.60, 3,674.35 and 805.48

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Solution

The fourth proportional to 2,449.60, 3,674.35 and 805.48 is: 1,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.60 : 3,674.35 = 805.48 : x
  2. Step 2: Convert to fraction form
    2,449.60/3,674.35 = 805.48/x
  3. Step 3: Cross multiply
    2,449.60x = 3,674.35 × 805.48
  4. Step 4: Simplify right side
    2,449.60x = 2,959,615.44
  5. Step 5: Solve for x
    x = 2,959,615.44/2,449.60
  6. Step 6: Final answer
    x = 1,208.20

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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.