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Finding the Fourth Proportional to 2,426.42, 3,639.77 and 695

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Solution

The fourth proportional to 2,426.42, 3,639.77 and 695 is: 1,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.42 : 3,639.77 = 695 : x
  2. Step 2: Convert to fraction form
    2,426.42/3,639.77 = 695/x
  3. Step 3: Cross multiply
    2,426.42x = 3,639.77 × 695
  4. Step 4: Simplify right side
    2,426.42x = 2,529,636.68
  5. Step 5: Solve for x
    x = 2,529,636.68/2,426.42
  6. Step 6: Final answer
    x = 1,042.54

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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.