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Finding the Fourth Proportional to 1,736.11, 2,604.57 and 503.55

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Solution

The fourth proportional to 1,736.11, 2,604.57 and 503.55 is: 755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.11 : 2,604.57 = 503.55 : x
  2. Step 2: Convert to fraction form
    1,736.11/2,604.57 = 503.55/x
  3. Step 3: Cross multiply
    1,736.11x = 2,604.57 × 503.55
  4. Step 4: Simplify right side
    1,736.11x = 1,311,531.22
  5. Step 5: Solve for x
    x = 1,311,531.22/1,736.11
  6. Step 6: Final answer
    x = 755.44

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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.