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Finding the Fourth Proportional to 2,883.34, 4,322.52 and 2,447.44

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Solution

The fourth proportional to 2,883.34, 4,322.52 and 2,447.44 is: 3,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.34 : 4,322.52 = 2,447.44 : x
  2. Step 2: Convert to fraction form
    2,883.34/4,322.52 = 2,447.44/x
  3. Step 3: Cross multiply
    2,883.34x = 4,322.52 × 2,447.44
  4. Step 4: Simplify right side
    2,883.34x = 10,579,108.35
  5. Step 5: Solve for x
    x = 10,579,108.35/2,883.34
  6. Step 6: Final answer
    x = 3,669.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.