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Finding the Fourth Proportional to 2,888.01, 3,982.10 and 2,023.47

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Solution

The fourth proportional to 2,888.01, 3,982.10 and 2,023.47 is: 2,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.01 : 3,982.10 = 2,023.47 : x
  2. Step 2: Convert to fraction form
    2,888.01/3,982.10 = 2,023.47/x
  3. Step 3: Cross multiply
    2,888.01x = 3,982.10 × 2,023.47
  4. Step 4: Simplify right side
    2,888.01x = 8,057,649.77
  5. Step 5: Solve for x
    x = 8,057,649.77/2,888.01
  6. Step 6: Final answer
    x = 2,790.04

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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.