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Finding the Fourth Proportional to 2,071.94, 3,108.96 and 961.34

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Solution

The fourth proportional to 2,071.94, 3,108.96 and 961.34 is: 1,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.94 : 3,108.96 = 961.34 : x
  2. Step 2: Convert to fraction form
    2,071.94/3,108.96 = 961.34/x
  3. Step 3: Cross multiply
    2,071.94x = 3,108.96 × 961.34
  4. Step 4: Simplify right side
    2,071.94x = 2,988,767.61
  5. Step 5: Solve for x
    x = 2,988,767.61/2,071.94
  6. Step 6: Final answer
    x = 1,442.50

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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.