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Finding the Fourth Proportional to 3,098.94, 4,276.55 and 1,822.49

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Solution

The fourth proportional to 3,098.94, 4,276.55 and 1,822.49 is: 2,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.94 : 4,276.55 = 1,822.49 : x
  2. Step 2: Convert to fraction form
    3,098.94/4,276.55 = 1,822.49/x
  3. Step 3: Cross multiply
    3,098.94x = 4,276.55 × 1,822.49
  4. Step 4: Simplify right side
    3,098.94x = 7,793,974.79
  5. Step 5: Solve for x
    x = 7,793,974.79/3,098.94
  6. Step 6: Final answer
    x = 2,515.04

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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.