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Finding the Fourth Proportional to 2,711.25, 4,064.43 and 979.47

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Solution

The fourth proportional to 2,711.25, 4,064.43 and 979.47 is: 1,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.25 : 4,064.43 = 979.47 : x
  2. Step 2: Convert to fraction form
    2,711.25/4,064.43 = 979.47/x
  3. Step 3: Cross multiply
    2,711.25x = 4,064.43 × 979.47
  4. Step 4: Simplify right side
    2,711.25x = 3,980,987.25
  5. Step 5: Solve for x
    x = 3,980,987.25/2,711.25
  6. Step 6: Final answer
    x = 1,468.32

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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.