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Finding the Fourth Proportional to 2,750.85, 4,124.07 and 1,578.96

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Solution

The fourth proportional to 2,750.85, 4,124.07 and 1,578.96 is: 2,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.85 : 4,124.07 = 1,578.96 : x
  2. Step 2: Convert to fraction form
    2,750.85/4,124.07 = 1,578.96/x
  3. Step 3: Cross multiply
    2,750.85x = 4,124.07 × 1,578.96
  4. Step 4: Simplify right side
    2,750.85x = 6,511,741.57
  5. Step 5: Solve for x
    x = 6,511,741.57/2,750.85
  6. Step 6: Final answer
    x = 2,367.17

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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.