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Finding the Fourth Proportional to 2,444.14, 3,665.82 and 712.36

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Solution

The fourth proportional to 2,444.14, 3,665.82 and 712.36 is: 1,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.14 : 3,665.82 = 712.36 : x
  2. Step 2: Convert to fraction form
    2,444.14/3,665.82 = 712.36/x
  3. Step 3: Cross multiply
    2,444.14x = 3,665.82 × 712.36
  4. Step 4: Simplify right side
    2,444.14x = 2,611,383.54
  5. Step 5: Solve for x
    x = 2,611,383.54/2,444.14
  6. Step 6: Final answer
    x = 1,068.43

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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.