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Finding the Fourth Proportional to 2,549.61, 3,825.01 and 794.53

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Solution

The fourth proportional to 2,549.61, 3,825.01 and 794.53 is: 1,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.61 : 3,825.01 = 794.53 : x
  2. Step 2: Convert to fraction form
    2,549.61/3,825.01 = 794.53/x
  3. Step 3: Cross multiply
    2,549.61x = 3,825.01 × 794.53
  4. Step 4: Simplify right side
    2,549.61x = 3,039,085.20
  5. Step 5: Solve for x
    x = 3,039,085.20/2,549.61
  6. Step 6: Final answer
    x = 1,191.98

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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.