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Finding the Fourth Proportional to 2,267.69, 3,391.59 and 2,101.64

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Solution

The fourth proportional to 2,267.69, 3,391.59 and 2,101.64 is: 3,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.69 : 3,391.59 = 2,101.64 : x
  2. Step 2: Convert to fraction form
    2,267.69/3,391.59 = 2,101.64/x
  3. Step 3: Cross multiply
    2,267.69x = 3,391.59 × 2,101.64
  4. Step 4: Simplify right side
    2,267.69x = 7,127,884.25
  5. Step 5: Solve for x
    x = 7,127,884.25/2,267.69
  6. Step 6: Final answer
    x = 3,143.24

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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.