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Finding the Fourth Proportional to 2,063.64, 2,845.92 and 1,401.48

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Solution

The fourth proportional to 2,063.64, 2,845.92 and 1,401.48 is: 1,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.64 : 2,845.92 = 1,401.48 : x
  2. Step 2: Convert to fraction form
    2,063.64/2,845.92 = 1,401.48/x
  3. Step 3: Cross multiply
    2,063.64x = 2,845.92 × 1,401.48
  4. Step 4: Simplify right side
    2,063.64x = 3,988,499.96
  5. Step 5: Solve for x
    x = 3,988,499.96/2,063.64
  6. Step 6: Final answer
    x = 1,932.75

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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.