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Finding the Fourth Proportional to 1,736.86, 2,606.32 and 697.09

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Solution

The fourth proportional to 1,736.86, 2,606.32 and 697.09 is: 1,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.86 : 2,606.32 = 697.09 : x
  2. Step 2: Convert to fraction form
    1,736.86/2,606.32 = 697.09/x
  3. Step 3: Cross multiply
    1,736.86x = 2,606.32 × 697.09
  4. Step 4: Simplify right side
    1,736.86x = 1,816,839.61
  5. Step 5: Solve for x
    x = 1,816,839.61/1,736.86
  6. Step 6: Final answer
    x = 1,046.05

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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.