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Finding the Fourth Proportional to 2,873.34, 3,965.23 and 1,614.45

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Solution

The fourth proportional to 2,873.34, 3,965.23 and 1,614.45 is: 2,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.34 : 3,965.23 = 1,614.45 : x
  2. Step 2: Convert to fraction form
    2,873.34/3,965.23 = 1,614.45/x
  3. Step 3: Cross multiply
    2,873.34x = 3,965.23 × 1,614.45
  4. Step 4: Simplify right side
    2,873.34x = 6,401,657.50
  5. Step 5: Solve for x
    x = 6,401,657.50/2,873.34
  6. Step 6: Final answer
    x = 2,227.95

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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.