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Finding the Fourth Proportional to 2,845.39, 4,267.86 and 971.12

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Solution

The fourth proportional to 2,845.39, 4,267.86 and 971.12 is: 1,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.39 : 4,267.86 = 971.12 : x
  2. Step 2: Convert to fraction form
    2,845.39/4,267.86 = 971.12/x
  3. Step 3: Cross multiply
    2,845.39x = 4,267.86 × 971.12
  4. Step 4: Simplify right side
    2,845.39x = 4,144,614.87
  5. Step 5: Solve for x
    x = 4,144,614.87/2,845.39
  6. Step 6: Final answer
    x = 1,456.61

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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.