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Finding the Fourth Proportional to 2,889.45, 4,332.96 and 1,965.51

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Solution

The fourth proportional to 2,889.45, 4,332.96 and 1,965.51 is: 2,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.45 : 4,332.96 = 1,965.51 : x
  2. Step 2: Convert to fraction form
    2,889.45/4,332.96 = 1,965.51/x
  3. Step 3: Cross multiply
    2,889.45x = 4,332.96 × 1,965.51
  4. Step 4: Simplify right side
    2,889.45x = 8,516,476.21
  5. Step 5: Solve for x
    x = 8,516,476.21/2,889.45
  6. Step 6: Final answer
    x = 2,947.44

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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.