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Finding the Fourth Proportional to 2,142.48, 3,198.36 and 2,047.92

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Solution

The fourth proportional to 2,142.48, 3,198.36 and 2,047.92 is: 3,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.48 : 3,198.36 = 2,047.92 : x
  2. Step 2: Convert to fraction form
    2,142.48/3,198.36 = 2,047.92/x
  3. Step 3: Cross multiply
    2,142.48x = 3,198.36 × 2,047.92
  4. Step 4: Simplify right side
    2,142.48x = 6,549,985.41
  5. Step 5: Solve for x
    x = 6,549,985.41/2,142.48
  6. Step 6: Final answer
    x = 3,057.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.