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Finding the Fourth Proportional to 2,385.60, 3,288.73 and 1,965.29

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Solution

The fourth proportional to 2,385.60, 3,288.73 and 1,965.29 is: 2,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.60 : 3,288.73 = 1,965.29 : x
  2. Step 2: Convert to fraction form
    2,385.60/3,288.73 = 1,965.29/x
  3. Step 3: Cross multiply
    2,385.60x = 3,288.73 × 1,965.29
  4. Step 4: Simplify right side
    2,385.60x = 6,463,308.18
  5. Step 5: Solve for x
    x = 6,463,308.18/2,385.60
  6. Step 6: Final answer
    x = 2,709.30

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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.