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Finding the Fourth Proportional to 2,101.93, 3,151.83 and 1,224.71

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Solution

The fourth proportional to 2,101.93, 3,151.83 and 1,224.71 is: 1,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.93 : 3,151.83 = 1,224.71 : x
  2. Step 2: Convert to fraction form
    2,101.93/3,151.83 = 1,224.71/x
  3. Step 3: Cross multiply
    2,101.93x = 3,151.83 × 1,224.71
  4. Step 4: Simplify right side
    2,101.93x = 3,860,077.72
  5. Step 5: Solve for x
    x = 3,860,077.72/2,101.93
  6. Step 6: Final answer
    x = 1,836.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.