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Finding the Fourth Proportional to 2,177.42, 3,267.99 and 945.82

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Solution

The fourth proportional to 2,177.42, 3,267.99 and 945.82 is: 1,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.42 : 3,267.99 = 945.82 : x
  2. Step 2: Convert to fraction form
    2,177.42/3,267.99 = 945.82/x
  3. Step 3: Cross multiply
    2,177.42x = 3,267.99 × 945.82
  4. Step 4: Simplify right side
    2,177.42x = 3,090,922.13
  5. Step 5: Solve for x
    x = 3,090,922.13/2,177.42
  6. Step 6: Final answer
    x = 1,419.53

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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.