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Finding the Fourth Proportional to 1,834.22, 2,532.54 and 1,197.27

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Solution

The fourth proportional to 1,834.22, 2,532.54 and 1,197.27 is: 1,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.22 : 2,532.54 = 1,197.27 : x
  2. Step 2: Convert to fraction form
    1,834.22/2,532.54 = 1,197.27/x
  3. Step 3: Cross multiply
    1,834.22x = 2,532.54 × 1,197.27
  4. Step 4: Simplify right side
    1,834.22x = 3,032,134.17
  5. Step 5: Solve for x
    x = 3,032,134.17/1,834.22
  6. Step 6: Final answer
    x = 1,653.10

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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.