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Finding the Fourth Proportional to 2,026.89, 3,040.38 and 566.17

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Solution

The fourth proportional to 2,026.89, 3,040.38 and 566.17 is: 849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.89 : 3,040.38 = 566.17 : x
  2. Step 2: Convert to fraction form
    2,026.89/3,040.38 = 566.17/x
  3. Step 3: Cross multiply
    2,026.89x = 3,040.38 × 566.17
  4. Step 4: Simplify right side
    2,026.89x = 1,721,364.34
  5. Step 5: Solve for x
    x = 1,721,364.34/2,026.89
  6. Step 6: Final answer
    x = 849.26

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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.