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Finding the Fourth Proportional to 2,026.38, 3,040.09 and 565.54

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Solution

The fourth proportional to 2,026.38, 3,040.09 and 565.54 is: 848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.38 : 3,040.09 = 565.54 : x
  2. Step 2: Convert to fraction form
    2,026.38/3,040.09 = 565.54/x
  3. Step 3: Cross multiply
    2,026.38x = 3,040.09 × 565.54
  4. Step 4: Simplify right side
    2,026.38x = 1,719,283.48
  5. Step 5: Solve for x
    x = 1,719,283.48/2,026.38
  6. Step 6: Final answer
    x = 848.45

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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.