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Finding the Fourth Proportional to 2,642.61, 3,647.61 and 1,524.29

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Solution

The fourth proportional to 2,642.61, 3,647.61 and 1,524.29 is: 2,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.61 : 3,647.61 = 1,524.29 : x
  2. Step 2: Convert to fraction form
    2,642.61/3,647.61 = 1,524.29/x
  3. Step 3: Cross multiply
    2,642.61x = 3,647.61 × 1,524.29
  4. Step 4: Simplify right side
    2,642.61x = 5,560,015.45
  5. Step 5: Solve for x
    x = 5,560,015.45/2,642.61
  6. Step 6: Final answer
    x = 2,103.99

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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.