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Finding the Fourth Proportional to 2,153.82, 3,233.16 and 1,278.22

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Solution

The fourth proportional to 2,153.82, 3,233.16 and 1,278.22 is: 1,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.82 : 3,233.16 = 1,278.22 : x
  2. Step 2: Convert to fraction form
    2,153.82/3,233.16 = 1,278.22/x
  3. Step 3: Cross multiply
    2,153.82x = 3,233.16 × 1,278.22
  4. Step 4: Simplify right side
    2,153.82x = 4,132,689.78
  5. Step 5: Solve for x
    x = 4,132,689.78/2,153.82
  6. Step 6: Final answer
    x = 1,918.77

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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.