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Finding the Fourth Proportional to 2,099.34, 2,896.90 and 1,215.20

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Solution

The fourth proportional to 2,099.34, 2,896.90 and 1,215.20 is: 1,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.34 : 2,896.90 = 1,215.20 : x
  2. Step 2: Convert to fraction form
    2,099.34/2,896.90 = 1,215.20/x
  3. Step 3: Cross multiply
    2,099.34x = 2,896.90 × 1,215.20
  4. Step 4: Simplify right side
    2,099.34x = 3,520,298.40
  5. Step 5: Solve for x
    x = 3,520,298.40/2,099.34
  6. Step 6: Final answer
    x = 1,676.86

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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.