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Finding the Fourth Proportional to 2,778.86, 4,144.72 and 2,342.99

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Solution

The fourth proportional to 2,778.86, 4,144.72 and 2,342.99 is: 3,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.86 : 4,144.72 = 2,342.99 : x
  2. Step 2: Convert to fraction form
    2,778.86/4,144.72 = 2,342.99/x
  3. Step 3: Cross multiply
    2,778.86x = 4,144.72 × 2,342.99
  4. Step 4: Simplify right side
    2,778.86x = 9,711,037.51
  5. Step 5: Solve for x
    x = 9,711,037.51/2,778.86
  6. Step 6: Final answer
    x = 3,494.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.