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Finding the Fourth Proportional to 2,044.63, 2,821.17 and 1,182.10

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Solution

The fourth proportional to 2,044.63, 2,821.17 and 1,182.10 is: 1,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.63 : 2,821.17 = 1,182.10 : x
  2. Step 2: Convert to fraction form
    2,044.63/2,821.17 = 1,182.10/x
  3. Step 3: Cross multiply
    2,044.63x = 2,821.17 × 1,182.10
  4. Step 4: Simplify right side
    2,044.63x = 3,334,905.06
  5. Step 5: Solve for x
    x = 3,334,905.06/2,044.63
  6. Step 6: Final answer
    x = 1,631.06

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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.