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Finding the Fourth Proportional to 2,135.87, 2,947.64 and 1,204.43

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Solution

The fourth proportional to 2,135.87, 2,947.64 and 1,204.43 is: 1,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.87 : 2,947.64 = 1,204.43 : x
  2. Step 2: Convert to fraction form
    2,135.87/2,947.64 = 1,204.43/x
  3. Step 3: Cross multiply
    2,135.87x = 2,947.64 × 1,204.43
  4. Step 4: Simplify right side
    2,135.87x = 3,550,220.02
  5. Step 5: Solve for x
    x = 3,550,220.02/2,135.87
  6. Step 6: Final answer
    x = 1,662.19

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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.