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Finding the Fourth Proportional to 1,910.97, 2,866.28 and 741.83

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Solution

The fourth proportional to 1,910.97, 2,866.28 and 741.83 is: 1,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.97 : 2,866.28 = 741.83 : x
  2. Step 2: Convert to fraction form
    1,910.97/2,866.28 = 741.83/x
  3. Step 3: Cross multiply
    1,910.97x = 2,866.28 × 741.83
  4. Step 4: Simplify right side
    1,910.97x = 2,126,274.45
  5. Step 5: Solve for x
    x = 2,126,274.45/1,910.97
  6. Step 6: Final answer
    x = 1,112.67

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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.