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Finding the Fourth Proportional to 2,027.34, 3,041.02 and 566.51

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Solution

The fourth proportional to 2,027.34, 3,041.02 and 566.51 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.34 : 3,041.02 = 566.51 : x
  2. Step 2: Convert to fraction form
    2,027.34/3,041.02 = 566.51/x
  3. Step 3: Cross multiply
    2,027.34x = 3,041.02 × 566.51
  4. Step 4: Simplify right side
    2,027.34x = 1,722,753.04
  5. Step 5: Solve for x
    x = 1,722,753.04/2,027.34
  6. Step 6: Final answer
    x = 849.76

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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.