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Finding the Fourth Proportional to 2,712.25, 4,068.38 and 660.25

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Solution

The fourth proportional to 2,712.25, 4,068.38 and 660.25 is: 990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.25 : 4,068.38 = 660.25 : x
  2. Step 2: Convert to fraction form
    2,712.25/4,068.38 = 660.25/x
  3. Step 3: Cross multiply
    2,712.25x = 4,068.38 × 660.25
  4. Step 4: Simplify right side
    2,712.25x = 2,686,147.90
  5. Step 5: Solve for x
    x = 2,686,147.90/2,712.25
  6. Step 6: Final answer
    x = 990.38

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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.