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Finding the Fourth Proportional to 2,538.95, 3,805.84 and 1,153.26

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Solution

The fourth proportional to 2,538.95, 3,805.84 and 1,153.26 is: 1,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.95 : 3,805.84 = 1,153.26 : x
  2. Step 2: Convert to fraction form
    2,538.95/3,805.84 = 1,153.26/x
  3. Step 3: Cross multiply
    2,538.95x = 3,805.84 × 1,153.26
  4. Step 4: Simplify right side
    2,538.95x = 4,389,128.70
  5. Step 5: Solve for x
    x = 4,389,128.70/2,538.95
  6. Step 6: Final answer
    x = 1,728.72

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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.