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Finding the Fourth Proportional to 1,849.74, 2,552.79 and 1,151.22

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Solution

The fourth proportional to 1,849.74, 2,552.79 and 1,151.22 is: 1,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.74 : 2,552.79 = 1,151.22 : x
  2. Step 2: Convert to fraction form
    1,849.74/2,552.79 = 1,151.22/x
  3. Step 3: Cross multiply
    1,849.74x = 2,552.79 × 1,151.22
  4. Step 4: Simplify right side
    1,849.74x = 2,938,822.90
  5. Step 5: Solve for x
    x = 2,938,822.90/1,849.74
  6. Step 6: Final answer
    x = 1,588.78

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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.