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Finding the Fourth Proportional to 2,022.67, 3,034.14 and 561.79

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Solution

The fourth proportional to 2,022.67, 3,034.14 and 561.79 is: 842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.67 : 3,034.14 = 561.79 : x
  2. Step 2: Convert to fraction form
    2,022.67/3,034.14 = 561.79/x
  3. Step 3: Cross multiply
    2,022.67x = 3,034.14 × 561.79
  4. Step 4: Simplify right side
    2,022.67x = 1,704,549.51
  5. Step 5: Solve for x
    x = 1,704,549.51/2,022.67
  6. Step 6: Final answer
    x = 842.72

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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.