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Finding the Fourth Proportional to 2,394.86, 3,590.78 and 1,078.34

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Solution

The fourth proportional to 2,394.86, 3,590.78 and 1,078.34 is: 1,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.86 : 3,590.78 = 1,078.34 : x
  2. Step 2: Convert to fraction form
    2,394.86/3,590.78 = 1,078.34/x
  3. Step 3: Cross multiply
    2,394.86x = 3,590.78 × 1,078.34
  4. Step 4: Simplify right side
    2,394.86x = 3,872,063.75
  5. Step 5: Solve for x
    x = 3,872,063.75/2,394.86
  6. Step 6: Final answer
    x = 1,616.83

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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.