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Finding the Fourth Proportional to 3,385.68, 4,672.08 and 1,969.16

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Solution

The fourth proportional to 3,385.68, 4,672.08 and 1,969.16 is: 2,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.68 : 4,672.08 = 1,969.16 : x
  2. Step 2: Convert to fraction form
    3,385.68/4,672.08 = 1,969.16/x
  3. Step 3: Cross multiply
    3,385.68x = 4,672.08 × 1,969.16
  4. Step 4: Simplify right side
    3,385.68x = 9,200,073.05
  5. Step 5: Solve for x
    x = 9,200,073.05/3,385.68
  6. Step 6: Final answer
    x = 2,717.35

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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.