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Finding the Fourth Proportional to 2,108.42, 2,909.90 and 1,224.50

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Solution

The fourth proportional to 2,108.42, 2,909.90 and 1,224.50 is: 1,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.42 : 2,909.90 = 1,224.50 : x
  2. Step 2: Convert to fraction form
    2,108.42/2,909.90 = 1,224.50/x
  3. Step 3: Cross multiply
    2,108.42x = 2,909.90 × 1,224.50
  4. Step 4: Simplify right side
    2,108.42x = 3,563,151.88
  5. Step 5: Solve for x
    x = 3,563,151.88/2,108.42
  6. Step 6: Final answer
    x = 1,689.97

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