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Finding the Fourth Proportional to 2,021.40, 3,032.22 and 560.52

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Solution

The fourth proportional to 2,021.40, 3,032.22 and 560.52 is: 840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.40 : 3,032.22 = 560.52 : x
  2. Step 2: Convert to fraction form
    2,021.40/3,032.22 = 560.52/x
  3. Step 3: Cross multiply
    2,021.40x = 3,032.22 × 560.52
  4. Step 4: Simplify right side
    2,021.40x = 1,699,619.95
  5. Step 5: Solve for x
    x = 1,699,619.95/2,021.40
  6. Step 6: Final answer
    x = 840.81

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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.