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Finding the Fourth Proportional to 2,044.74, 2,820.22 and 1,298.05

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Solution

The fourth proportional to 2,044.74, 2,820.22 and 1,298.05 is: 1,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.74 : 2,820.22 = 1,298.05 : x
  2. Step 2: Convert to fraction form
    2,044.74/2,820.22 = 1,298.05/x
  3. Step 3: Cross multiply
    2,044.74x = 2,820.22 × 1,298.05
  4. Step 4: Simplify right side
    2,044.74x = 3,660,786.57
  5. Step 5: Solve for x
    x = 3,660,786.57/2,044.74
  6. Step 6: Final answer
    x = 1,790.34

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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.