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Finding the Fourth Proportional to 2,788.69, 4,174.82 and 2,442.70

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Solution

The fourth proportional to 2,788.69, 4,174.82 and 2,442.70 is: 3,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.69 : 4,174.82 = 2,442.70 : x
  2. Step 2: Convert to fraction form
    2,788.69/4,174.82 = 2,442.70/x
  3. Step 3: Cross multiply
    2,788.69x = 4,174.82 × 2,442.70
  4. Step 4: Simplify right side
    2,788.69x = 10,197,831.93
  5. Step 5: Solve for x
    x = 10,197,831.93/2,788.69
  6. Step 6: Final answer
    x = 3,656.85

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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.