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Finding the Fourth Proportional to 3,087.74, 4,631.46 and 896.42

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Solution

The fourth proportional to 3,087.74, 4,631.46 and 896.42 is: 1,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.74 : 4,631.46 = 896.42 : x
  2. Step 2: Convert to fraction form
    3,087.74/4,631.46 = 896.42/x
  3. Step 3: Cross multiply
    3,087.74x = 4,631.46 × 896.42
  4. Step 4: Simplify right side
    3,087.74x = 4,151,733.37
  5. Step 5: Solve for x
    x = 4,151,733.37/3,087.74
  6. Step 6: Final answer
    x = 1,344.59

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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.