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Finding the Fourth Proportional to 2,352.77, 3,261.68 and 2,227.93

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Solution

The fourth proportional to 2,352.77, 3,261.68 and 2,227.93 is: 3,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.77 : 3,261.68 = 2,227.93 : x
  2. Step 2: Convert to fraction form
    2,352.77/3,261.68 = 2,227.93/x
  3. Step 3: Cross multiply
    2,352.77x = 3,261.68 × 2,227.93
  4. Step 4: Simplify right side
    2,352.77x = 7,266,794.72
  5. Step 5: Solve for x
    x = 7,266,794.72/2,352.77
  6. Step 6: Final answer
    x = 3,088.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.