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Finding the Fourth Proportional to 2,108.68, 2,909.76 and 1,224.31

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Solution

The fourth proportional to 2,108.68, 2,909.76 and 1,224.31 is: 1,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.68 : 2,909.76 = 1,224.31 : x
  2. Step 2: Convert to fraction form
    2,108.68/2,909.76 = 1,224.31/x
  3. Step 3: Cross multiply
    2,108.68x = 2,909.76 × 1,224.31
  4. Step 4: Simplify right side
    2,108.68x = 3,562,442.14
  5. Step 5: Solve for x
    x = 3,562,442.14/2,108.68
  6. Step 6: Final answer
    x = 1,689.42

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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.