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Finding the Fourth Proportional to 3,287.76, 4,930.56 and 1,095.90

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Solution

The fourth proportional to 3,287.76, 4,930.56 and 1,095.90 is: 1,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.76 : 4,930.56 = 1,095.90 : x
  2. Step 2: Convert to fraction form
    3,287.76/4,930.56 = 1,095.90/x
  3. Step 3: Cross multiply
    3,287.76x = 4,930.56 × 1,095.90
  4. Step 4: Simplify right side
    3,287.76x = 5,403,400.70
  5. Step 5: Solve for x
    x = 5,403,400.70/3,287.76
  6. Step 6: Final answer
    x = 1,643.49

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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.