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Finding the Fourth Proportional to 2,871.83, 4,300.82 and 1,635.49

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Solution

The fourth proportional to 2,871.83, 4,300.82 and 1,635.49 is: 2,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.83 : 4,300.82 = 1,635.49 : x
  2. Step 2: Convert to fraction form
    2,871.83/4,300.82 = 1,635.49/x
  3. Step 3: Cross multiply
    2,871.83x = 4,300.82 × 1,635.49
  4. Step 4: Simplify right side
    2,871.83x = 7,033,948.10
  5. Step 5: Solve for x
    x = 7,033,948.10/2,871.83
  6. Step 6: Final answer
    x = 2,449.29

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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.