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Finding the Fourth Proportional to 2,590.77, 3,886.16 and 2,234.02

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Solution

The fourth proportional to 2,590.77, 3,886.16 and 2,234.02 is: 3,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.77 : 3,886.16 = 2,234.02 : x
  2. Step 2: Convert to fraction form
    2,590.77/3,886.16 = 2,234.02/x
  3. Step 3: Cross multiply
    2,590.77x = 3,886.16 × 2,234.02
  4. Step 4: Simplify right side
    2,590.77x = 8,681,759.16
  5. Step 5: Solve for x
    x = 8,681,759.16/2,590.77
  6. Step 6: Final answer
    x = 3,351.03

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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.