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Finding the Fourth Proportional to 2,907.92, 4,012.91 and 1,649.22

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Solution

The fourth proportional to 2,907.92, 4,012.91 and 1,649.22 is: 2,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.92 : 4,012.91 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    2,907.92/4,012.91 = 1,649.22/x
  3. Step 3: Cross multiply
    2,907.92x = 4,012.91 × 1,649.22
  4. Step 4: Simplify right side
    2,907.92x = 6,618,171.43
  5. Step 5: Solve for x
    x = 6,618,171.43/2,907.92
  6. Step 6: Final answer
    x = 2,275.91

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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.