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Finding the Fourth Proportional to 2,034.74, 3,056.20 and 1,214.61

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Solution

The fourth proportional to 2,034.74, 3,056.20 and 1,214.61 is: 1,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.74 : 3,056.20 = 1,214.61 : x
  2. Step 2: Convert to fraction form
    2,034.74/3,056.20 = 1,214.61/x
  3. Step 3: Cross multiply
    2,034.74x = 3,056.20 × 1,214.61
  4. Step 4: Simplify right side
    2,034.74x = 3,712,091.08
  5. Step 5: Solve for x
    x = 3,712,091.08/2,034.74
  6. Step 6: Final answer
    x = 1,824.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.