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Finding the Fourth Proportional to 2,099.52, 3,145.50 and 1,221.48

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Solution

The fourth proportional to 2,099.52, 3,145.50 and 1,221.48 is: 1,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.52 : 3,145.50 = 1,221.48 : x
  2. Step 2: Convert to fraction form
    2,099.52/3,145.50 = 1,221.48/x
  3. Step 3: Cross multiply
    2,099.52x = 3,145.50 × 1,221.48
  4. Step 4: Simplify right side
    2,099.52x = 3,842,165.34
  5. Step 5: Solve for x
    x = 3,842,165.34/2,099.52
  6. Step 6: Final answer
    x = 1,830.02

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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.