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Finding the Fourth Proportional to 2,146.60, 2,961.06 and 1,214.92

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Solution

The fourth proportional to 2,146.60, 2,961.06 and 1,214.92 is: 1,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.60 : 2,961.06 = 1,214.92 : x
  2. Step 2: Convert to fraction form
    2,146.60/2,961.06 = 1,214.92/x
  3. Step 3: Cross multiply
    2,146.60x = 2,961.06 × 1,214.92
  4. Step 4: Simplify right side
    2,146.60x = 3,597,451.02
  5. Step 5: Solve for x
    x = 3,597,451.02/2,146.60
  6. Step 6: Final answer
    x = 1,675.88

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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.