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Finding the Fourth Proportional to 1,604.92, 2,220.06 and 1,342.12

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Solution

The fourth proportional to 1,604.92, 2,220.06 and 1,342.12 is: 1,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.92 : 2,220.06 = 1,342.12 : x
  2. Step 2: Convert to fraction form
    1,604.92/2,220.06 = 1,342.12/x
  3. Step 3: Cross multiply
    1,604.92x = 2,220.06 × 1,342.12
  4. Step 4: Simplify right side
    1,604.92x = 2,979,586.93
  5. Step 5: Solve for x
    x = 2,979,586.93/1,604.92
  6. Step 6: Final answer
    x = 1,856.53

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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.