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Finding the Fourth Proportional to 2,325.66, 3,209.41 and 1,277.72

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Solution

The fourth proportional to 2,325.66, 3,209.41 and 1,277.72 is: 1,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.66 : 3,209.41 = 1,277.72 : x
  2. Step 2: Convert to fraction form
    2,325.66/3,209.41 = 1,277.72/x
  3. Step 3: Cross multiply
    2,325.66x = 3,209.41 × 1,277.72
  4. Step 4: Simplify right side
    2,325.66x = 4,100,724.93
  5. Step 5: Solve for x
    x = 4,100,724.93/2,325.66
  6. Step 6: Final answer
    x = 1,763.25

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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.