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Finding the Fourth Proportional to 2,648.32, 3,654.72 and 1,544.32

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Solution

The fourth proportional to 2,648.32, 3,654.72 and 1,544.32 is: 2,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.32 : 3,654.72 = 1,544.32 : x
  2. Step 2: Convert to fraction form
    2,648.32/3,654.72 = 1,544.32/x
  3. Step 3: Cross multiply
    2,648.32x = 3,654.72 × 1,544.32
  4. Step 4: Simplify right side
    2,648.32x = 5,644,057.19
  5. Step 5: Solve for x
    x = 5,644,057.19/2,648.32
  6. Step 6: Final answer
    x = 2,131.18

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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.