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Finding the Fourth Proportional to 2,997.57, 4,496.36 and 1,049.33

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Solution

The fourth proportional to 2,997.57, 4,496.36 and 1,049.33 is: 1,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.57 : 4,496.36 = 1,049.33 : x
  2. Step 2: Convert to fraction form
    2,997.57/4,496.36 = 1,049.33/x
  3. Step 3: Cross multiply
    2,997.57x = 4,496.36 × 1,049.33
  4. Step 4: Simplify right side
    2,997.57x = 4,718,165.44
  5. Step 5: Solve for x
    x = 4,718,165.44/2,997.57
  6. Step 6: Final answer
    x = 1,574.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.