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Finding the Fourth Proportional to 2,654.73, 3,663.42 and 1,535.73

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Solution

The fourth proportional to 2,654.73, 3,663.42 and 1,535.73 is: 2,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.73 : 3,663.42 = 1,535.73 : x
  2. Step 2: Convert to fraction form
    2,654.73/3,663.42 = 1,535.73/x
  3. Step 3: Cross multiply
    2,654.73x = 3,663.42 × 1,535.73
  4. Step 4: Simplify right side
    2,654.73x = 5,626,024.00
  5. Step 5: Solve for x
    x = 5,626,024.00/2,654.73
  6. Step 6: Final answer
    x = 2,119.25

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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.