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Finding the Fourth Proportional to 2,654.72, 3,663.90 and 1,911.14

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Solution

The fourth proportional to 2,654.72, 3,663.90 and 1,911.14 is: 2,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.72 : 3,663.90 = 1,911.14 : x
  2. Step 2: Convert to fraction form
    2,654.72/3,663.90 = 1,911.14/x
  3. Step 3: Cross multiply
    2,654.72x = 3,663.90 × 1,911.14
  4. Step 4: Simplify right side
    2,654.72x = 7,002,207.53
  5. Step 5: Solve for x
    x = 7,002,207.53/2,654.72
  6. Step 6: Final answer
    x = 2,637.65

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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.