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Finding the Fourth Proportional to 2,788.94, 4,175.19 and 2,442.95

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Solution

The fourth proportional to 2,788.94, 4,175.19 and 2,442.95 is: 3,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.94 : 4,175.19 = 2,442.95 : x
  2. Step 2: Convert to fraction form
    2,788.94/4,175.19 = 2,442.95/x
  3. Step 3: Cross multiply
    2,788.94x = 4,175.19 × 2,442.95
  4. Step 4: Simplify right side
    2,788.94x = 10,199,790.85
  5. Step 5: Solve for x
    x = 10,199,790.85/2,788.94
  6. Step 6: Final answer
    x = 3,657.23

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Why These Related Problems?

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