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Finding the Fourth Proportional to 2,829.77, 4,244.12 and 1,098.17

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Solution

The fourth proportional to 2,829.77, 4,244.12 and 1,098.17 is: 1,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.77 : 4,244.12 = 1,098.17 : x
  2. Step 2: Convert to fraction form
    2,829.77/4,244.12 = 1,098.17/x
  3. Step 3: Cross multiply
    2,829.77x = 4,244.12 × 1,098.17
  4. Step 4: Simplify right side
    2,829.77x = 4,660,759.77
  5. Step 5: Solve for x
    x = 4,660,759.77/2,829.77
  6. Step 6: Final answer
    x = 1,647.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.