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Finding the Fourth Proportional to 3,298.44, 4,948.53 and 1,449.92

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Solution

The fourth proportional to 3,298.44, 4,948.53 and 1,449.92 is: 2,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.44 : 4,948.53 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    3,298.44/4,948.53 = 1,449.92/x
  3. Step 3: Cross multiply
    3,298.44x = 4,948.53 × 1,449.92
  4. Step 4: Simplify right side
    3,298.44x = 7,174,979.55
  5. Step 5: Solve for x
    x = 7,174,979.55/3,298.44
  6. Step 6: Final answer
    x = 2,175.26

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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.