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Finding the Fourth Proportional to 3,298.65, 4,949.28 and 1,448.48

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Solution

The fourth proportional to 3,298.65, 4,949.28 and 1,448.48 is: 2,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.65 : 4,949.28 = 1,448.48 : x
  2. Step 2: Convert to fraction form
    3,298.65/4,949.28 = 1,448.48/x
  3. Step 3: Cross multiply
    3,298.65x = 4,949.28 × 1,448.48
  4. Step 4: Simplify right side
    3,298.65x = 7,168,908.35
  5. Step 5: Solve for x
    x = 7,168,908.35/3,298.65
  6. Step 6: Final answer
    x = 2,173.29

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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.