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Finding the Fourth Proportional to 2,503.27, 3,758.15 and 1,641.43

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Solution

The fourth proportional to 2,503.27, 3,758.15 and 1,641.43 is: 2,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.27 : 3,758.15 = 1,641.43 : x
  2. Step 2: Convert to fraction form
    2,503.27/3,758.15 = 1,641.43/x
  3. Step 3: Cross multiply
    2,503.27x = 3,758.15 × 1,641.43
  4. Step 4: Simplify right side
    2,503.27x = 6,168,740.15
  5. Step 5: Solve for x
    x = 6,168,740.15/2,503.27
  6. Step 6: Final answer
    x = 2,464.27

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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.