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Finding the Fourth Proportional to 2,648.23, 3,654.61 and 1,529.23

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Solution

The fourth proportional to 2,648.23, 3,654.61 and 1,529.23 is: 2,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.23 : 3,654.61 = 1,529.23 : x
  2. Step 2: Convert to fraction form
    2,648.23/3,654.61 = 1,529.23/x
  3. Step 3: Cross multiply
    2,648.23x = 3,654.61 × 1,529.23
  4. Step 4: Simplify right side
    2,648.23x = 5,588,739.25
  5. Step 5: Solve for x
    x = 5,588,739.25/2,648.23
  6. Step 6: Final answer
    x = 2,110.37

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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.