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Finding the Fourth Proportional to 2,735.78, 4,098.50 and 2,181.53

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Solution

The fourth proportional to 2,735.78, 4,098.50 and 2,181.53 is: 3,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.78 : 4,098.50 = 2,181.53 : x
  2. Step 2: Convert to fraction form
    2,735.78/4,098.50 = 2,181.53/x
  3. Step 3: Cross multiply
    2,735.78x = 4,098.50 × 2,181.53
  4. Step 4: Simplify right side
    2,735.78x = 8,941,008.22
  5. Step 5: Solve for x
    x = 8,941,008.22/2,735.78
  6. Step 6: Final answer
    x = 3,268.18

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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.