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Finding the Fourth Proportional to 2,624.87, 3,937.30 and 893.49

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Solution

The fourth proportional to 2,624.87, 3,937.30 and 893.49 is: 1,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.87 : 3,937.30 = 893.49 : x
  2. Step 2: Convert to fraction form
    2,624.87/3,937.30 = 893.49/x
  3. Step 3: Cross multiply
    2,624.87x = 3,937.30 × 893.49
  4. Step 4: Simplify right side
    2,624.87x = 3,517,935.94
  5. Step 5: Solve for x
    x = 3,517,935.94/2,624.87
  6. Step 6: Final answer
    x = 1,340.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.