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Finding the Fourth Proportional to 1,999.53, 2,760.26 and 1,467.48

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Solution

The fourth proportional to 1,999.53, 2,760.26 and 1,467.48 is: 2,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.53 : 2,760.26 = 1,467.48 : x
  2. Step 2: Convert to fraction form
    1,999.53/2,760.26 = 1,467.48/x
  3. Step 3: Cross multiply
    1,999.53x = 2,760.26 × 1,467.48
  4. Step 4: Simplify right side
    1,999.53x = 4,050,605.21
  5. Step 5: Solve for x
    x = 4,050,605.21/1,999.53
  6. Step 6: Final answer
    x = 2,025.78

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1.5x scale

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.