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Finding the Fourth Proportional to 2,939.70, 4,056.71 and 1,613.39

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Solution

The fourth proportional to 2,939.70, 4,056.71 and 1,613.39 is: 2,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.70 : 4,056.71 = 1,613.39 : x
  2. Step 2: Convert to fraction form
    2,939.70/4,056.71 = 1,613.39/x
  3. Step 3: Cross multiply
    2,939.70x = 4,056.71 × 1,613.39
  4. Step 4: Simplify right side
    2,939.70x = 6,545,027.00
  5. Step 5: Solve for x
    x = 6,545,027.00/2,939.70
  6. Step 6: Final answer
    x = 2,226.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.