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Finding the Fourth Proportional to 2,357.35, 3,535.86 and 896.46

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Solution

The fourth proportional to 2,357.35, 3,535.86 and 896.46 is: 1,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.35 : 3,535.86 = 896.46 : x
  2. Step 2: Convert to fraction form
    2,357.35/3,535.86 = 896.46/x
  3. Step 3: Cross multiply
    2,357.35x = 3,535.86 × 896.46
  4. Step 4: Simplify right side
    2,357.35x = 3,169,757.06
  5. Step 5: Solve for x
    x = 3,169,757.06/2,357.35
  6. Step 6: Final answer
    x = 1,344.63

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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.