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Finding the Fourth Proportional to 2,044.92, 2,822.00 and 1,161.02

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Solution

The fourth proportional to 2,044.92, 2,822.00 and 1,161.02 is: 1,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.92 : 2,822.00 = 1,161.02 : x
  2. Step 2: Convert to fraction form
    2,044.92/2,822.00 = 1,161.02/x
  3. Step 3: Cross multiply
    2,044.92x = 2,822.00 × 1,161.02
  4. Step 4: Simplify right side
    2,044.92x = 3,276,378.52
  5. Step 5: Solve for x
    x = 3,276,378.52/2,044.92
  6. Step 6: Final answer
    x = 1,602.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.