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Finding the Fourth Proportional to 2,108.52, 2,909.82 and 1,224.30

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Solution

The fourth proportional to 2,108.52, 2,909.82 and 1,224.30 is: 1,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.52 : 2,909.82 = 1,224.30 : x
  2. Step 2: Convert to fraction form
    2,108.52/2,909.82 = 1,224.30/x
  3. Step 3: Cross multiply
    2,108.52x = 2,909.82 × 1,224.30
  4. Step 4: Simplify right side
    2,108.52x = 3,562,492.63
  5. Step 5: Solve for x
    x = 3,562,492.63/2,108.52
  6. Step 6: Final answer
    x = 1,689.57

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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.