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Finding the Fourth Proportional to 2,856.19, 3,941.49 and 1,614.19

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Solution

The fourth proportional to 2,856.19, 3,941.49 and 1,614.19 is: 2,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.19 : 3,941.49 = 1,614.19 : x
  2. Step 2: Convert to fraction form
    2,856.19/3,941.49 = 1,614.19/x
  3. Step 3: Cross multiply
    2,856.19x = 3,941.49 × 1,614.19
  4. Step 4: Simplify right side
    2,856.19x = 6,362,313.74
  5. Step 5: Solve for x
    x = 6,362,313.74/2,856.19
  6. Step 6: Final answer
    x = 2,227.55

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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.