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Finding the Fourth Proportional to 1,891.92, 2,610.66 and 1,228.50

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Solution

The fourth proportional to 1,891.92, 2,610.66 and 1,228.50 is: 1,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.92 : 2,610.66 = 1,228.50 : x
  2. Step 2: Convert to fraction form
    1,891.92/2,610.66 = 1,228.50/x
  3. Step 3: Cross multiply
    1,891.92x = 2,610.66 × 1,228.50
  4. Step 4: Simplify right side
    1,891.92x = 3,207,195.81
  5. Step 5: Solve for x
    x = 3,207,195.81/1,891.92
  6. Step 6: Final answer
    x = 1,695.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.