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Finding the Fourth Proportional to 2,010.61, 2,772.63 and 1,224.16

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Solution

The fourth proportional to 2,010.61, 2,772.63 and 1,224.16 is: 1,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.61 : 2,772.63 = 1,224.16 : x
  2. Step 2: Convert to fraction form
    2,010.61/2,772.63 = 1,224.16/x
  3. Step 3: Cross multiply
    2,010.61x = 2,772.63 × 1,224.16
  4. Step 4: Simplify right side
    2,010.61x = 3,394,142.74
  5. Step 5: Solve for x
    x = 3,394,142.74/2,010.61
  6. Step 6: Final answer
    x = 1,688.12

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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.