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Finding the Fourth Proportional to 2,108.50, 2,909.70 and 1,224.80

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Solution

The fourth proportional to 2,108.50, 2,909.70 and 1,224.80 is: 1,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.50 : 2,909.70 = 1,224.80 : x
  2. Step 2: Convert to fraction form
    2,108.50/2,909.70 = 1,224.80/x
  3. Step 3: Cross multiply
    2,108.50x = 2,909.70 × 1,224.80
  4. Step 4: Simplify right side
    2,108.50x = 3,563,800.56
  5. Step 5: Solve for x
    x = 3,563,800.56/2,108.50
  6. Step 6: Final answer
    x = 1,690.21

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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.