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Finding the Fourth Proportional to 2,044.85, 2,822.45 and 1,646.33

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Solution

The fourth proportional to 2,044.85, 2,822.45 and 1,646.33 is: 2,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.85 : 2,822.45 = 1,646.33 : x
  2. Step 2: Convert to fraction form
    2,044.85/2,822.45 = 1,646.33/x
  3. Step 3: Cross multiply
    2,044.85x = 2,822.45 × 1,646.33
  4. Step 4: Simplify right side
    2,044.85x = 4,646,661.76
  5. Step 5: Solve for x
    x = 4,646,661.76/2,044.85
  6. Step 6: Final answer
    x = 2,272.38

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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.