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Finding the Fourth Proportional to 3,098.36, 4,275.84 and 1,919

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Solution

The fourth proportional to 3,098.36, 4,275.84 and 1,919 is: 2,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.36 : 4,275.84 = 1,919 : x
  2. Step 2: Convert to fraction form
    3,098.36/4,275.84 = 1,919/x
  3. Step 3: Cross multiply
    3,098.36x = 4,275.84 × 1,919
  4. Step 4: Simplify right side
    3,098.36x = 8,205,336.96
  5. Step 5: Solve for x
    x = 8,205,336.96/3,098.36
  6. Step 6: Final answer
    x = 2,648.28

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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.