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Finding the Fourth Proportional to 2,013.94, 3,022 and 844.74

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Solution

The fourth proportional to 2,013.94, 3,022 and 844.74 is: 1,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.94 : 3,022 = 844.74 : x
  2. Step 2: Convert to fraction form
    2,013.94/3,022 = 844.74/x
  3. Step 3: Cross multiply
    2,013.94x = 3,022 × 844.74
  4. Step 4: Simplify right side
    2,013.94x = 2,552,804.28
  5. Step 5: Solve for x
    x = 2,552,804.28/2,013.94
  6. Step 6: Final answer
    x = 1,267.57

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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.