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Finding the Fourth Proportional to 2,940.18, 4,057.02 and 1,761

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Solution

The fourth proportional to 2,940.18, 4,057.02 and 1,761 is: 2,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.18 : 4,057.02 = 1,761 : x
  2. Step 2: Convert to fraction form
    2,940.18/4,057.02 = 1,761/x
  3. Step 3: Cross multiply
    2,940.18x = 4,057.02 × 1,761
  4. Step 4: Simplify right side
    2,940.18x = 7,144,412.22
  5. Step 5: Solve for x
    x = 7,144,412.22/2,940.18
  6. Step 6: Final answer
    x = 2,429.92

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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.