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Finding the Fourth Proportional to 1,974.84, 2,961.44 and 741.61

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Solution

The fourth proportional to 1,974.84, 2,961.44 and 741.61 is: 1,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.84 : 2,961.44 = 741.61 : x
  2. Step 2: Convert to fraction form
    1,974.84/2,961.44 = 741.61/x
  3. Step 3: Cross multiply
    1,974.84x = 2,961.44 × 741.61
  4. Step 4: Simplify right side
    1,974.84x = 2,196,233.52
  5. Step 5: Solve for x
    x = 2,196,233.52/1,974.84
  6. Step 6: Final answer
    x = 1,112.11

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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.