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Finding the Fourth Proportional to 1,454.84, 2,182.26 and 1,197.30

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Solution

The fourth proportional to 1,454.84, 2,182.26 and 1,197.30 is: 1,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.84 : 2,182.26 = 1,197.30 : x
  2. Step 2: Convert to fraction form
    1,454.84/2,182.26 = 1,197.30/x
  3. Step 3: Cross multiply
    1,454.84x = 2,182.26 × 1,197.30
  4. Step 4: Simplify right side
    1,454.84x = 2,612,813.56
  5. Step 5: Solve for x
    x = 2,612,813.56/1,454.84
  6. Step 6: Final answer
    x = 1,795.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.