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Finding the Fourth Proportional to 2,914.37, 4,370.42 and 966.05

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Solution

The fourth proportional to 2,914.37, 4,370.42 and 966.05 is: 1,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.37 : 4,370.42 = 966.05 : x
  2. Step 2: Convert to fraction form
    2,914.37/4,370.42 = 966.05/x
  3. Step 3: Cross multiply
    2,914.37x = 4,370.42 × 966.05
  4. Step 4: Simplify right side
    2,914.37x = 4,222,024.80
  5. Step 5: Solve for x
    x = 4,222,024.80/2,914.37
  6. Step 6: Final answer
    x = 1,448.69

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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.