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Finding the Fourth Proportional to 2,044.86, 2,821.87 and 1,205.60

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Solution

The fourth proportional to 2,044.86, 2,821.87 and 1,205.60 is: 1,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.86 : 2,821.87 = 1,205.60 : x
  2. Step 2: Convert to fraction form
    2,044.86/2,821.87 = 1,205.60/x
  3. Step 3: Cross multiply
    2,044.86x = 2,821.87 × 1,205.60
  4. Step 4: Simplify right side
    2,044.86x = 3,402,026.33
  5. Step 5: Solve for x
    x = 3,402,026.33/2,044.86
  6. Step 6: Final answer
    x = 1,663.70

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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.