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Finding the Fourth Proportional to 1,736.24, 2,603.96 and 503.38

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Solution

The fourth proportional to 1,736.24, 2,603.96 and 503.38 is: 754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.24 : 2,603.96 = 503.38 : x
  2. Step 2: Convert to fraction form
    1,736.24/2,603.96 = 503.38/x
  3. Step 3: Cross multiply
    1,736.24x = 2,603.96 × 503.38
  4. Step 4: Simplify right side
    1,736.24x = 1,310,765.85
  5. Step 5: Solve for x
    x = 1,310,765.85/1,736.24
  6. Step 6: Final answer
    x = 754.95

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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.