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Finding the Fourth Proportional to 2,062.46, 2,843.52 and 1,315.12

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Solution

The fourth proportional to 2,062.46, 2,843.52 and 1,315.12 is: 1,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.46 : 2,843.52 = 1,315.12 : x
  2. Step 2: Convert to fraction form
    2,062.46/2,843.52 = 1,315.12/x
  3. Step 3: Cross multiply
    2,062.46x = 2,843.52 × 1,315.12
  4. Step 4: Simplify right side
    2,062.46x = 3,739,571.31
  5. Step 5: Solve for x
    x = 3,739,571.31/2,062.46
  6. Step 6: Final answer
    x = 1,813.16

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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.