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Finding the Fourth Proportional to 1,747.62, 2,412.84 and 1,085.43

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Solution

The fourth proportional to 1,747.62, 2,412.84 and 1,085.43 is: 1,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.62 : 2,412.84 = 1,085.43 : x
  2. Step 2: Convert to fraction form
    1,747.62/2,412.84 = 1,085.43/x
  3. Step 3: Cross multiply
    1,747.62x = 2,412.84 × 1,085.43
  4. Step 4: Simplify right side
    1,747.62x = 2,618,968.92
  5. Step 5: Solve for x
    x = 2,618,968.92/1,747.62
  6. Step 6: Final answer
    x = 1,498.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.