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Finding the Fourth Proportional to 2,797.24, 4,193.86 and 1,315.63

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Solution

The fourth proportional to 2,797.24, 4,193.86 and 1,315.63 is: 1,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.24 : 4,193.86 = 1,315.63 : x
  2. Step 2: Convert to fraction form
    2,797.24/4,193.86 = 1,315.63/x
  3. Step 3: Cross multiply
    2,797.24x = 4,193.86 × 1,315.63
  4. Step 4: Simplify right side
    2,797.24x = 5,517,568.03
  5. Step 5: Solve for x
    x = 5,517,568.03/2,797.24
  6. Step 6: Final answer
    x = 1,972.50

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Why These Related Problems?

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