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Finding the Fourth Proportional to 2,044.60, 3,065.10 and 1,223.20

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Solution

The fourth proportional to 2,044.60, 3,065.10 and 1,223.20 is: 1,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.60 : 3,065.10 = 1,223.20 : x
  2. Step 2: Convert to fraction form
    2,044.60/3,065.10 = 1,223.20/x
  3. Step 3: Cross multiply
    2,044.60x = 3,065.10 × 1,223.20
  4. Step 4: Simplify right side
    2,044.60x = 3,749,230.32
  5. Step 5: Solve for x
    x = 3,749,230.32/2,044.60
  6. Step 6: Final answer
    x = 1,833.72

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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.