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Finding the Fourth Proportional to 1,736.58, 2,605.13 and 640.86

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Solution

The fourth proportional to 1,736.58, 2,605.13 and 640.86 is: 961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.58 : 2,605.13 = 640.86 : x
  2. Step 2: Convert to fraction form
    1,736.58/2,605.13 = 640.86/x
  3. Step 3: Cross multiply
    1,736.58x = 2,605.13 × 640.86
  4. Step 4: Simplify right side
    1,736.58x = 1,669,523.61
  5. Step 5: Solve for x
    x = 1,669,523.61/1,736.58
  6. Step 6: Final answer
    x = 961.39

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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.