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Finding the Fourth Proportional to 3,456.78, 5,182.26 and 1,606.95

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Solution

The fourth proportional to 3,456.78, 5,182.26 and 1,606.95 is: 2,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.78 : 5,182.26 = 1,606.95 : x
  2. Step 2: Convert to fraction form
    3,456.78/5,182.26 = 1,606.95/x
  3. Step 3: Cross multiply
    3,456.78x = 5,182.26 × 1,606.95
  4. Step 4: Simplify right side
    3,456.78x = 8,327,632.71
  5. Step 5: Solve for x
    x = 8,327,632.71/3,456.78
  6. Step 6: Final answer
    x = 2,409.07

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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.