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Finding the Fourth Proportional to 2,894.12, 3,997.20 and 1,948.40

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Solution

The fourth proportional to 2,894.12, 3,997.20 and 1,948.40 is: 2,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.12 : 3,997.20 = 1,948.40 : x
  2. Step 2: Convert to fraction form
    2,894.12/3,997.20 = 1,948.40/x
  3. Step 3: Cross multiply
    2,894.12x = 3,997.20 × 1,948.40
  4. Step 4: Simplify right side
    2,894.12x = 7,788,144.48
  5. Step 5: Solve for x
    x = 7,788,144.48/2,894.12
  6. Step 6: Final answer
    x = 2,691.02

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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.