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Finding the Fourth Proportional to 2,907.36, 4,013.04 and 2,382.24

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Solution

The fourth proportional to 2,907.36, 4,013.04 and 2,382.24 is: 3,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.36 : 4,013.04 = 2,382.24 : x
  2. Step 2: Convert to fraction form
    2,907.36/4,013.04 = 2,382.24/x
  3. Step 3: Cross multiply
    2,907.36x = 4,013.04 × 2,382.24
  4. Step 4: Simplify right side
    2,907.36x = 9,560,024.41
  5. Step 5: Solve for x
    x = 9,560,024.41/2,907.36
  6. Step 6: Final answer
    x = 3,288.21

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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.