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Finding the Fourth Proportional to 2,969.42, 4,102.74 and 2,344.74

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Solution

The fourth proportional to 2,969.42, 4,102.74 and 2,344.74 is: 3,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.42 : 4,102.74 = 2,344.74 : x
  2. Step 2: Convert to fraction form
    2,969.42/4,102.74 = 2,344.74/x
  3. Step 3: Cross multiply
    2,969.42x = 4,102.74 × 2,344.74
  4. Step 4: Simplify right side
    2,969.42x = 9,619,858.59
  5. Step 5: Solve for x
    x = 9,619,858.59/2,969.42
  6. Step 6: Final answer
    x = 3,239.64

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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.