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Finding the Fourth Proportional to 2,654.15, 3,662.79 and 1,535.43

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Solution

The fourth proportional to 2,654.15, 3,662.79 and 1,535.43 is: 2,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.15 : 3,662.79 = 1,535.43 : x
  2. Step 2: Convert to fraction form
    2,654.15/3,662.79 = 1,535.43/x
  3. Step 3: Cross multiply
    2,654.15x = 3,662.79 × 1,535.43
  4. Step 4: Simplify right side
    2,654.15x = 5,623,957.65
  5. Step 5: Solve for x
    x = 5,623,957.65/2,654.15
  6. Step 6: Final answer
    x = 2,118.93

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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.