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Finding the Fourth Proportional to 2,939.09, 4,409.12 and 964.16

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Solution

The fourth proportional to 2,939.09, 4,409.12 and 964.16 is: 1,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.09 : 4,409.12 = 964.16 : x
  2. Step 2: Convert to fraction form
    2,939.09/4,409.12 = 964.16/x
  3. Step 3: Cross multiply
    2,939.09x = 4,409.12 × 964.16
  4. Step 4: Simplify right side
    2,939.09x = 4,251,070.27
  5. Step 5: Solve for x
    x = 4,251,070.27/2,939.09
  6. Step 6: Final answer
    x = 1,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.