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Finding the Fourth Proportional to 2,654.82, 3,663.66 and 1,475.90

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Solution

The fourth proportional to 2,654.82, 3,663.66 and 1,475.90 is: 2,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.82 : 3,663.66 = 1,475.90 : x
  2. Step 2: Convert to fraction form
    2,654.82/3,663.66 = 1,475.90/x
  3. Step 3: Cross multiply
    2,654.82x = 3,663.66 × 1,475.90
  4. Step 4: Simplify right side
    2,654.82x = 5,407,195.79
  5. Step 5: Solve for x
    x = 5,407,195.79/2,654.82
  6. Step 6: Final answer
    x = 2,036.75

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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.