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Finding the Fourth Proportional to 2,773.24, 3,825.63 and 1,877.01

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Solution

The fourth proportional to 2,773.24, 3,825.63 and 1,877.01 is: 2,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.24 : 3,825.63 = 1,877.01 : x
  2. Step 2: Convert to fraction form
    2,773.24/3,825.63 = 1,877.01/x
  3. Step 3: Cross multiply
    2,773.24x = 3,825.63 × 1,877.01
  4. Step 4: Simplify right side
    2,773.24x = 7,180,731.42
  5. Step 5: Solve for x
    x = 7,180,731.42/2,773.24
  6. Step 6: Final answer
    x = 2,589.30

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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.