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Finding the Fourth Proportional to 2,135.92, 2,947.53 and 1,204.42

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Solution

The fourth proportional to 2,135.92, 2,947.53 and 1,204.42 is: 1,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.92 : 2,947.53 = 1,204.42 : x
  2. Step 2: Convert to fraction form
    2,135.92/2,947.53 = 1,204.42/x
  3. Step 3: Cross multiply
    2,135.92x = 2,947.53 × 1,204.42
  4. Step 4: Simplify right side
    2,135.92x = 3,550,064.08
  5. Step 5: Solve for x
    x = 3,550,064.08/2,135.92
  6. Step 6: Final answer
    x = 1,662.08

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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.