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Finding the Fourth Proportional to 1,827.52, 2,522.21 and 1,198.58

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Solution

The fourth proportional to 1,827.52, 2,522.21 and 1,198.58 is: 1,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.52 : 2,522.21 = 1,198.58 : x
  2. Step 2: Convert to fraction form
    1,827.52/2,522.21 = 1,198.58/x
  3. Step 3: Cross multiply
    1,827.52x = 2,522.21 × 1,198.58
  4. Step 4: Simplify right side
    1,827.52x = 3,023,070.46
  5. Step 5: Solve for x
    x = 3,023,070.46/1,827.52
  6. Step 6: Final answer
    x = 1,654.19

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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.