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Finding the Fourth Proportional to 2,021.06, 3,031.25 and 560.22

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Solution

The fourth proportional to 2,021.06, 3,031.25 and 560.22 is: 840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.06 : 3,031.25 = 560.22 : x
  2. Step 2: Convert to fraction form
    2,021.06/3,031.25 = 560.22/x
  3. Step 3: Cross multiply
    2,021.06x = 3,031.25 × 560.22
  4. Step 4: Simplify right side
    2,021.06x = 1,698,166.88
  5. Step 5: Solve for x
    x = 1,698,166.88/2,021.06
  6. Step 6: Final answer
    x = 840.24

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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.