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Finding the Fourth Proportional to 2,098.96, 2,896.35 and 1,215.04

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Solution

The fourth proportional to 2,098.96, 2,896.35 and 1,215.04 is: 1,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.96 : 2,896.35 = 1,215.04 : x
  2. Step 2: Convert to fraction form
    2,098.96/2,896.35 = 1,215.04/x
  3. Step 3: Cross multiply
    2,098.96x = 2,896.35 × 1,215.04
  4. Step 4: Simplify right side
    2,098.96x = 3,519,181.10
  5. Step 5: Solve for x
    x = 3,519,181.10/2,098.96
  6. Step 6: Final answer
    x = 1,676.63

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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.