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Finding the Fourth Proportional to 4,760.74, 7,142.37 and 1,799.23

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Solution

The fourth proportional to 4,760.74, 7,142.37 and 1,799.23 is: 2,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.74 : 7,142.37 = 1,799.23 : x
  2. Step 2: Convert to fraction form
    4,760.74/7,142.37 = 1,799.23/x
  3. Step 3: Cross multiply
    4,760.74x = 7,142.37 × 1,799.23
  4. Step 4: Simplify right side
    4,760.74x = 12,850,766.38
  5. Step 5: Solve for x
    x = 12,850,766.38/4,760.74
  6. Step 6: Final answer
    x = 2,699.32

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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.