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Finding the Fourth Proportional to 2,098.72, 2,896.40 and 1,214.80

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Solution

The fourth proportional to 2,098.72, 2,896.40 and 1,214.80 is: 1,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.72 : 2,896.40 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    2,098.72/2,896.40 = 1,214.80/x
  3. Step 3: Cross multiply
    2,098.72x = 2,896.40 × 1,214.80
  4. Step 4: Simplify right side
    2,098.72x = 3,518,546.72
  5. Step 5: Solve for x
    x = 3,518,546.72/2,098.72
  6. Step 6: Final answer
    x = 1,676.52

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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.