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Finding the Fourth Proportional to 2,028.74, 3,042.93 and 642.11

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Solution

The fourth proportional to 2,028.74, 3,042.93 and 642.11 is: 963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.74 : 3,042.93 = 642.11 : x
  2. Step 2: Convert to fraction form
    2,028.74/3,042.93 = 642.11/x
  3. Step 3: Cross multiply
    2,028.74x = 3,042.93 × 642.11
  4. Step 4: Simplify right side
    2,028.74x = 1,953,895.78
  5. Step 5: Solve for x
    x = 1,953,895.78/2,028.74
  6. Step 6: Final answer
    x = 963.11

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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.