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Finding the Fourth Proportional to 1,736.78, 2,603.70 and 697.52

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Solution

The fourth proportional to 1,736.78, 2,603.70 and 697.52 is: 1,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.78 : 2,603.70 = 697.52 : x
  2. Step 2: Convert to fraction form
    1,736.78/2,603.70 = 697.52/x
  3. Step 3: Cross multiply
    1,736.78x = 2,603.70 × 697.52
  4. Step 4: Simplify right side
    1,736.78x = 1,816,132.82
  5. Step 5: Solve for x
    x = 1,816,132.82/1,736.78
  6. Step 6: Final answer
    x = 1,045.69

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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.