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Finding the Fourth Proportional to 2,098.68, 2,896.08 and 1,214.58

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Solution

The fourth proportional to 2,098.68, 2,896.08 and 1,214.58 is: 1,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.68 : 2,896.08 = 1,214.58 : x
  2. Step 2: Convert to fraction form
    2,098.68/2,896.08 = 1,214.58/x
  3. Step 3: Cross multiply
    2,098.68x = 2,896.08 × 1,214.58
  4. Step 4: Simplify right side
    2,098.68x = 3,517,520.85
  5. Step 5: Solve for x
    x = 3,517,520.85/2,098.68
  6. Step 6: Final answer
    x = 1,676.06

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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.