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Finding the Fourth Proportional to 3,087.24, 4,631.52 and 895.78

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Solution

The fourth proportional to 3,087.24, 4,631.52 and 895.78 is: 1,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.24 : 4,631.52 = 895.78 : x
  2. Step 2: Convert to fraction form
    3,087.24/4,631.52 = 895.78/x
  3. Step 3: Cross multiply
    3,087.24x = 4,631.52 × 895.78
  4. Step 4: Simplify right side
    3,087.24x = 4,148,822.99
  5. Step 5: Solve for x
    x = 4,148,822.99/3,087.24
  6. Step 6: Final answer
    x = 1,343.86

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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.