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Finding the Fourth Proportional to 2,043.86, 2,819.40 and 1,381.64

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Solution

The fourth proportional to 2,043.86, 2,819.40 and 1,381.64 is: 1,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.86 : 2,819.40 = 1,381.64 : x
  2. Step 2: Convert to fraction form
    2,043.86/2,819.40 = 1,381.64/x
  3. Step 3: Cross multiply
    2,043.86x = 2,819.40 × 1,381.64
  4. Step 4: Simplify right side
    2,043.86x = 3,895,395.82
  5. Step 5: Solve for x
    x = 3,895,395.82/2,043.86
  6. Step 6: Final answer
    x = 1,905.90

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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.