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Finding the Fourth Proportional to 2,042.94, 3,065.22 and 744.54

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Solution

The fourth proportional to 2,042.94, 3,065.22 and 744.54 is: 1,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.94 : 3,065.22 = 744.54 : x
  2. Step 2: Convert to fraction form
    2,042.94/3,065.22 = 744.54/x
  3. Step 3: Cross multiply
    2,042.94x = 3,065.22 × 744.54
  4. Step 4: Simplify right side
    2,042.94x = 2,282,178.90
  5. Step 5: Solve for x
    x = 2,282,178.90/2,042.94
  6. Step 6: Final answer
    x = 1,117.11

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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.