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Finding the Fourth Proportional to 1,748.72, 2,414.94 and 1,085.78

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Solution

The fourth proportional to 1,748.72, 2,414.94 and 1,085.78 is: 1,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.72 : 2,414.94 = 1,085.78 : x
  2. Step 2: Convert to fraction form
    1,748.72/2,414.94 = 1,085.78/x
  3. Step 3: Cross multiply
    1,748.72x = 2,414.94 × 1,085.78
  4. Step 4: Simplify right side
    1,748.72x = 2,622,093.55
  5. Step 5: Solve for x
    x = 2,622,093.55/1,748.72
  6. Step 6: Final answer
    x = 1,499.44

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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.