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Finding the Fourth Proportional to 2,760.93, 4,142.19 and 813.13

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Solution

The fourth proportional to 2,760.93, 4,142.19 and 813.13 is: 1,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.93 : 4,142.19 = 813.13 : x
  2. Step 2: Convert to fraction form
    2,760.93/4,142.19 = 813.13/x
  3. Step 3: Cross multiply
    2,760.93x = 4,142.19 × 813.13
  4. Step 4: Simplify right side
    2,760.93x = 3,368,138.95
  5. Step 5: Solve for x
    x = 3,368,138.95/2,760.93
  6. Step 6: Final answer
    x = 1,219.93

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1.5x scale

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.