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Finding the Fourth Proportional to 2,021.43, 3,032.13 and 560.57

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Solution

The fourth proportional to 2,021.43, 3,032.13 and 560.57 is: 840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.43 : 3,032.13 = 560.57 : x
  2. Step 2: Convert to fraction form
    2,021.43/3,032.13 = 560.57/x
  3. Step 3: Cross multiply
    2,021.43x = 3,032.13 × 560.57
  4. Step 4: Simplify right side
    2,021.43x = 1,699,718.31
  5. Step 5: Solve for x
    x = 1,699,718.31/2,021.43
  6. Step 6: Final answer
    x = 840.85

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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.