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Finding the Fourth Proportional to 2,247, 3,098.52 and 1,362.48

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Solution

The fourth proportional to 2,247, 3,098.52 and 1,362.48 is: 1,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,098.52 = 1,362.48 : x
  2. Step 2: Convert to fraction form
    2,247/3,098.52 = 1,362.48/x
  3. Step 3: Cross multiply
    2,247x = 3,098.52 × 1,362.48
  4. Step 4: Simplify right side
    2,247x = 4,221,671.53
  5. Step 5: Solve for x
    x = 4,221,671.53/2,247
  6. Step 6: Final answer
    x = 1,878.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.