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Finding the Fourth Proportional to 2,907.91, 4,013.07 and 1,649.22

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Solution

The fourth proportional to 2,907.91, 4,013.07 and 1,649.22 is: 2,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.91 : 4,013.07 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    2,907.91/4,013.07 = 1,649.22/x
  3. Step 3: Cross multiply
    2,907.91x = 4,013.07 × 1,649.22
  4. Step 4: Simplify right side
    2,907.91x = 6,618,435.31
  5. Step 5: Solve for x
    x = 6,618,435.31/2,907.91
  6. Step 6: Final answer
    x = 2,276.01

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1.5x scale

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.