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Finding the Fourth Proportional to 2,265.58, 3,399.18 and 1,641.46

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Solution

The fourth proportional to 2,265.58, 3,399.18 and 1,641.46 is: 2,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.58 : 3,399.18 = 1,641.46 : x
  2. Step 2: Convert to fraction form
    2,265.58/3,399.18 = 1,641.46/x
  3. Step 3: Cross multiply
    2,265.58x = 3,399.18 × 1,641.46
  4. Step 4: Simplify right side
    2,265.58x = 5,579,618.00
  5. Step 5: Solve for x
    x = 5,579,618.00/2,265.58
  6. Step 6: Final answer
    x = 2,462.78

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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.