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Finding the Fourth Proportional to 2,021.85, 3,032.90 and 560.97

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Solution

The fourth proportional to 2,021.85, 3,032.90 and 560.97 is: 841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.85 : 3,032.90 = 560.97 : x
  2. Step 2: Convert to fraction form
    2,021.85/3,032.90 = 560.97/x
  3. Step 3: Cross multiply
    2,021.85x = 3,032.90 × 560.97
  4. Step 4: Simplify right side
    2,021.85x = 1,701,363.11
  5. Step 5: Solve for x
    x = 1,701,363.11/2,021.85
  6. Step 6: Final answer
    x = 841.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.