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Finding the Fourth Proportional to 2,001.51, 2,998.22 and 1,029.51

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Solution

The fourth proportional to 2,001.51, 2,998.22 and 1,029.51 is: 1,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.51 : 2,998.22 = 1,029.51 : x
  2. Step 2: Convert to fraction form
    2,001.51/2,998.22 = 1,029.51/x
  3. Step 3: Cross multiply
    2,001.51x = 2,998.22 × 1,029.51
  4. Step 4: Simplify right side
    2,001.51x = 3,086,692.32
  5. Step 5: Solve for x
    x = 3,086,692.32/2,001.51
  6. Step 6: Final answer
    x = 1,542.18

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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.