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Finding the Fourth Proportional to 2,265.77, 3,397.28 and 2,072.40

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Solution

The fourth proportional to 2,265.77, 3,397.28 and 2,072.40 is: 3,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.77 : 3,397.28 = 2,072.40 : x
  2. Step 2: Convert to fraction form
    2,265.77/3,397.28 = 2,072.40/x
  3. Step 3: Cross multiply
    2,265.77x = 3,397.28 × 2,072.40
  4. Step 4: Simplify right side
    2,265.77x = 7,040,525.45
  5. Step 5: Solve for x
    x = 7,040,525.45/2,265.77
  6. Step 6: Final answer
    x = 3,107.34

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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.