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Finding the Fourth Proportional to 2,010.68, 2,774.98 and 1,224.84

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Solution

The fourth proportional to 2,010.68, 2,774.98 and 1,224.84 is: 1,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.68 : 2,774.98 = 1,224.84 : x
  2. Step 2: Convert to fraction form
    2,010.68/2,774.98 = 1,224.84/x
  3. Step 3: Cross multiply
    2,010.68x = 2,774.98 × 1,224.84
  4. Step 4: Simplify right side
    2,010.68x = 3,398,906.50
  5. Step 5: Solve for x
    x = 3,398,906.50/2,010.68
  6. Step 6: Final answer
    x = 1,690.43

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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.