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Finding the Fourth Proportional to 2,648.48, 3,647.52 and 2,591.06

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Solution

The fourth proportional to 2,648.48, 3,647.52 and 2,591.06 is: 3,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.48 : 3,647.52 = 2,591.06 : x
  2. Step 2: Convert to fraction form
    2,648.48/3,647.52 = 2,591.06/x
  3. Step 3: Cross multiply
    2,648.48x = 3,647.52 × 2,591.06
  4. Step 4: Simplify right side
    2,648.48x = 9,450,924.93
  5. Step 5: Solve for x
    x = 9,450,924.93/2,648.48
  6. Step 6: Final answer
    x = 3,568.44

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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.