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Finding the Fourth Proportional to 3,513.76, 4,848.84 and 1,942

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Solution

The fourth proportional to 3,513.76, 4,848.84 and 1,942 is: 2,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.76 : 4,848.84 = 1,942 : x
  2. Step 2: Convert to fraction form
    3,513.76/4,848.84 = 1,942/x
  3. Step 3: Cross multiply
    3,513.76x = 4,848.84 × 1,942
  4. Step 4: Simplify right side
    3,513.76x = 9,416,447.28
  5. Step 5: Solve for x
    x = 9,416,447.28/3,513.76
  6. Step 6: Final answer
    x = 2,679.88

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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.