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Finding the Fourth Proportional to 2,939.56, 4,056.64 and 1,613.30

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Solution

The fourth proportional to 2,939.56, 4,056.64 and 1,613.30 is: 2,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.56 : 4,056.64 = 1,613.30 : x
  2. Step 2: Convert to fraction form
    2,939.56/4,056.64 = 1,613.30/x
  3. Step 3: Cross multiply
    2,939.56x = 4,056.64 × 1,613.30
  4. Step 4: Simplify right side
    2,939.56x = 6,544,577.31
  5. Step 5: Solve for x
    x = 6,544,577.31/2,939.56
  6. Step 6: Final answer
    x = 2,226.38

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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.