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Finding the Fourth Proportional to 1,701.96, 2,557.26 and 1,085.96

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Solution

The fourth proportional to 1,701.96, 2,557.26 and 1,085.96 is: 1,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.96 : 2,557.26 = 1,085.96 : x
  2. Step 2: Convert to fraction form
    1,701.96/2,557.26 = 1,085.96/x
  3. Step 3: Cross multiply
    1,701.96x = 2,557.26 × 1,085.96
  4. Step 4: Simplify right side
    1,701.96x = 2,777,082.07
  5. Step 5: Solve for x
    x = 2,777,082.07/1,701.96
  6. Step 6: Final answer
    x = 1,631.70

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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.