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Finding the Fourth Proportional to 4,114, 6,171.64 and 1,340.02

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Solution

The fourth proportional to 4,114, 6,171.64 and 1,340.02 is: 2,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114 : 6,171.64 = 1,340.02 : x
  2. Step 2: Convert to fraction form
    4,114/6,171.64 = 1,340.02/x
  3. Step 3: Cross multiply
    4,114x = 6,171.64 × 1,340.02
  4. Step 4: Simplify right side
    4,114x = 8,270,121.03
  5. Step 5: Solve for x
    x = 8,270,121.03/4,114
  6. Step 6: Final answer
    x = 2,010.24

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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.