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Finding the Fourth Proportional to 2,444.95, 3,667.39 and 596.07

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Solution

The fourth proportional to 2,444.95, 3,667.39 and 596.07 is: 894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.95 : 3,667.39 = 596.07 : x
  2. Step 2: Convert to fraction form
    2,444.95/3,667.39 = 596.07/x
  3. Step 3: Cross multiply
    2,444.95x = 3,667.39 × 596.07
  4. Step 4: Simplify right side
    2,444.95x = 2,186,002.82
  5. Step 5: Solve for x
    x = 2,186,002.82/2,444.95
  6. Step 6: Final answer
    x = 894.09

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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.