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Finding the Fourth Proportional to 2,021.38, 3,032.12 and 560.58

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Solution

The fourth proportional to 2,021.38, 3,032.12 and 560.58 is: 840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.38 : 3,032.12 = 560.58 : x
  2. Step 2: Convert to fraction form
    2,021.38/3,032.12 = 560.58/x
  3. Step 3: Cross multiply
    2,021.38x = 3,032.12 × 560.58
  4. Step 4: Simplify right side
    2,021.38x = 1,699,745.83
  5. Step 5: Solve for x
    x = 1,699,745.83/2,021.38
  6. Step 6: Final answer
    x = 840.88

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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.