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Finding the Fourth Proportional to 2,109.31, 2,910.54 and 1,323.61

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Solution

The fourth proportional to 2,109.31, 2,910.54 and 1,323.61 is: 1,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.31 : 2,910.54 = 1,323.61 : x
  2. Step 2: Convert to fraction form
    2,109.31/2,910.54 = 1,323.61/x
  3. Step 3: Cross multiply
    2,109.31x = 2,910.54 × 1,323.61
  4. Step 4: Simplify right side
    2,109.31x = 3,852,419.85
  5. Step 5: Solve for x
    x = 3,852,419.85/2,109.31
  6. Step 6: Final answer
    x = 1,826.39

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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.