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Finding the Fourth Proportional to 1,902.78, 2,643.95 and 1,882.53

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Solution

The fourth proportional to 1,902.78, 2,643.95 and 1,882.53 is: 2,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.78 : 2,643.95 = 1,882.53 : x
  2. Step 2: Convert to fraction form
    1,902.78/2,643.95 = 1,882.53/x
  3. Step 3: Cross multiply
    1,902.78x = 2,643.95 × 1,882.53
  4. Step 4: Simplify right side
    1,902.78x = 4,977,319.90
  5. Step 5: Solve for x
    x = 4,977,319.90/1,902.78
  6. Step 6: Final answer
    x = 2,615.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.