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Finding the Fourth Proportional to 2,003.64, 2,763.82 and 1,267.64

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Solution

The fourth proportional to 2,003.64, 2,763.82 and 1,267.64 is: 1,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.64 : 2,763.82 = 1,267.64 : x
  2. Step 2: Convert to fraction form
    2,003.64/2,763.82 = 1,267.64/x
  3. Step 3: Cross multiply
    2,003.64x = 2,763.82 × 1,267.64
  4. Step 4: Simplify right side
    2,003.64x = 3,503,528.78
  5. Step 5: Solve for x
    x = 3,503,528.78/2,003.64
  6. Step 6: Final answer
    x = 1,748.58

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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.