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Finding the Fourth Proportional to 2,939.47, 4,408.15 and 858.93

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Solution

The fourth proportional to 2,939.47, 4,408.15 and 858.93 is: 1,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.47 : 4,408.15 = 858.93 : x
  2. Step 2: Convert to fraction form
    2,939.47/4,408.15 = 858.93/x
  3. Step 3: Cross multiply
    2,939.47x = 4,408.15 × 858.93
  4. Step 4: Simplify right side
    2,939.47x = 3,786,292.28
  5. Step 5: Solve for x
    x = 3,786,292.28/2,939.47
  6. Step 6: Final answer
    x = 1,288.09

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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.