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Finding the Fourth Proportional to 2,444.74, 3,667.17 and 2,095.90

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Solution

The fourth proportional to 2,444.74, 3,667.17 and 2,095.90 is: 3,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.74 : 3,667.17 = 2,095.90 : x
  2. Step 2: Convert to fraction form
    2,444.74/3,667.17 = 2,095.90/x
  3. Step 3: Cross multiply
    2,444.74x = 3,667.17 × 2,095.90
  4. Step 4: Simplify right side
    2,444.74x = 7,686,021.60
  5. Step 5: Solve for x
    x = 7,686,021.60/2,444.74
  6. Step 6: Final answer
    x = 3,143.90

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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.