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Finding the Fourth Proportional to 2,863.84, 4,295.72 and 1,219.52

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Solution

The fourth proportional to 2,863.84, 4,295.72 and 1,219.52 is: 1,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.84 : 4,295.72 = 1,219.52 : x
  2. Step 2: Convert to fraction form
    2,863.84/4,295.72 = 1,219.52/x
  3. Step 3: Cross multiply
    2,863.84x = 4,295.72 × 1,219.52
  4. Step 4: Simplify right side
    2,863.84x = 5,238,716.45
  5. Step 5: Solve for x
    x = 5,238,716.45/2,863.84
  6. Step 6: Final answer
    x = 1,829.26

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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.