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Finding the Fourth Proportional to 2,781.88, 3,830.70 and 2,388.28

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Solution

The fourth proportional to 2,781.88, 3,830.70 and 2,388.28 is: 3,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.88 : 3,830.70 = 2,388.28 : x
  2. Step 2: Convert to fraction form
    2,781.88/3,830.70 = 2,388.28/x
  3. Step 3: Cross multiply
    2,781.88x = 3,830.70 × 2,388.28
  4. Step 4: Simplify right side
    2,781.88x = 9,148,784.20
  5. Step 5: Solve for x
    x = 9,148,784.20/2,781.88
  6. Step 6: Final answer
    x = 3,288.71

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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.