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Finding the Fourth Proportional to 2,590.86, 3,867.50 and 2,398.15

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Solution

The fourth proportional to 2,590.86, 3,867.50 and 2,398.15 is: 3,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.86 : 3,867.50 = 2,398.15 : x
  2. Step 2: Convert to fraction form
    2,590.86/3,867.50 = 2,398.15/x
  3. Step 3: Cross multiply
    2,590.86x = 3,867.50 × 2,398.15
  4. Step 4: Simplify right side
    2,590.86x = 9,274,845.13
  5. Step 5: Solve for x
    x = 9,274,845.13/2,590.86
  6. Step 6: Final answer
    x = 3,579.83

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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.