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Finding the Fourth Proportional to 6,968.80, 10,454.80 and 2,038.32

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Solution

The fourth proportional to 6,968.80, 10,454.80 and 2,038.32 is: 3,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.80 : 10,454.80 = 2,038.32 : x
  2. Step 2: Convert to fraction form
    6,968.80/10,454.80 = 2,038.32/x
  3. Step 3: Cross multiply
    6,968.80x = 10,454.80 × 2,038.32
  4. Step 4: Simplify right side
    6,968.80x = 21,310,227.94
  5. Step 5: Solve for x
    x = 21,310,227.94/6,968.80
  6. Step 6: Final answer
    x = 3,057.95

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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.