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Finding the Fourth Proportional to 2,444.92, 3,667.37 and 596.05

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Solution

The fourth proportional to 2,444.92, 3,667.37 and 596.05 is: 894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.92 : 3,667.37 = 596.05 : x
  2. Step 2: Convert to fraction form
    2,444.92/3,667.37 = 596.05/x
  3. Step 3: Cross multiply
    2,444.92x = 3,667.37 × 596.05
  4. Step 4: Simplify right side
    2,444.92x = 2,185,923.74
  5. Step 5: Solve for x
    x = 2,185,923.74/2,444.92
  6. Step 6: Final answer
    x = 894.07

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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.