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Finding the Fourth Proportional to 2,021.16, 3,031.92 and 560.34

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Solution

The fourth proportional to 2,021.16, 3,031.92 and 560.34 is: 840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.16 : 3,031.92 = 560.34 : x
  2. Step 2: Convert to fraction form
    2,021.16/3,031.92 = 560.34/x
  3. Step 3: Cross multiply
    2,021.16x = 3,031.92 × 560.34
  4. Step 4: Simplify right side
    2,021.16x = 1,698,906.05
  5. Step 5: Solve for x
    x = 1,698,906.05/2,021.16
  6. Step 6: Final answer
    x = 840.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.