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Finding the Fourth Proportional to 2,010.78, 2,774.52 and 1,224.54

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Solution

The fourth proportional to 2,010.78, 2,774.52 and 1,224.54 is: 1,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.78 : 2,774.52 = 1,224.54 : x
  2. Step 2: Convert to fraction form
    2,010.78/2,774.52 = 1,224.54/x
  3. Step 3: Cross multiply
    2,010.78x = 2,774.52 × 1,224.54
  4. Step 4: Simplify right side
    2,010.78x = 3,397,510.72
  5. Step 5: Solve for x
    x = 3,397,510.72/2,010.78
  6. Step 6: Final answer
    x = 1,689.65

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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.