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Finding the Fourth Proportional to 2,872.95, 3,964.55 and 1,865.67

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Solution

The fourth proportional to 2,872.95, 3,964.55 and 1,865.67 is: 2,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.95 : 3,964.55 = 1,865.67 : x
  2. Step 2: Convert to fraction form
    2,872.95/3,964.55 = 1,865.67/x
  3. Step 3: Cross multiply
    2,872.95x = 3,964.55 × 1,865.67
  4. Step 4: Simplify right side
    2,872.95x = 7,396,542.00
  5. Step 5: Solve for x
    x = 7,396,542.00/2,872.95
  6. Step 6: Final answer
    x = 2,574.55

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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.