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Finding the Fourth Proportional to 2,021.86, 3,032.78 and 560.89

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Solution

The fourth proportional to 2,021.86, 3,032.78 and 560.89 is: 841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.86 : 3,032.78 = 560.89 : x
  2. Step 2: Convert to fraction form
    2,021.86/3,032.78 = 560.89/x
  3. Step 3: Cross multiply
    2,021.86x = 3,032.78 × 560.89
  4. Step 4: Simplify right side
    2,021.86x = 1,701,056.96
  5. Step 5: Solve for x
    x = 1,701,056.96/2,021.86
  6. Step 6: Final answer
    x = 841.33

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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.