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Finding the Fourth Proportional to 1,735.88, 2,605.38 and 914.76

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Solution

The fourth proportional to 1,735.88, 2,605.38 and 914.76 is: 1,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.88 : 2,605.38 = 914.76 : x
  2. Step 2: Convert to fraction form
    1,735.88/2,605.38 = 914.76/x
  3. Step 3: Cross multiply
    1,735.88x = 2,605.38 × 914.76
  4. Step 4: Simplify right side
    1,735.88x = 2,383,297.41
  5. Step 5: Solve for x
    x = 2,383,297.41/1,735.88
  6. Step 6: Final answer
    x = 1,372.96

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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.