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Finding the Fourth Proportional to 2,449.80, 3,673.44 and 718.20

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Solution

The fourth proportional to 2,449.80, 3,673.44 and 718.20 is: 1,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.80 : 3,673.44 = 718.20 : x
  2. Step 2: Convert to fraction form
    2,449.80/3,673.44 = 718.20/x
  3. Step 3: Cross multiply
    2,449.80x = 3,673.44 × 718.20
  4. Step 4: Simplify right side
    2,449.80x = 2,638,264.61
  5. Step 5: Solve for x
    x = 2,638,264.61/2,449.80
  6. Step 6: Final answer
    x = 1,076.93

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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.