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Finding the Fourth Proportional to 2,907.97, 4,013.13 and 1,649.07

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Solution

The fourth proportional to 2,907.97, 4,013.13 and 1,649.07 is: 2,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.97 : 4,013.13 = 1,649.07 : x
  2. Step 2: Convert to fraction form
    2,907.97/4,013.13 = 1,649.07/x
  3. Step 3: Cross multiply
    2,907.97x = 4,013.13 × 1,649.07
  4. Step 4: Simplify right side
    2,907.97x = 6,617,932.29
  5. Step 5: Solve for x
    x = 6,617,932.29/2,907.97
  6. Step 6: Final answer
    x = 2,275.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.