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Finding the Fourth Proportional to 2,656.35, 3,661.97 and 1,771.83

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Solution

The fourth proportional to 2,656.35, 3,661.97 and 1,771.83 is: 2,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.35 : 3,661.97 = 1,771.83 : x
  2. Step 2: Convert to fraction form
    2,656.35/3,661.97 = 1,771.83/x
  3. Step 3: Cross multiply
    2,656.35x = 3,661.97 × 1,771.83
  4. Step 4: Simplify right side
    2,656.35x = 6,488,379.45
  5. Step 5: Solve for x
    x = 6,488,379.45/2,656.35
  6. Step 6: Final answer
    x = 2,442.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.