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Finding the Fourth Proportional to 2,463.21, 3,695.85 and 903.38

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Solution

The fourth proportional to 2,463.21, 3,695.85 and 903.38 is: 1,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.21 : 3,695.85 = 903.38 : x
  2. Step 2: Convert to fraction form
    2,463.21/3,695.85 = 903.38/x
  3. Step 3: Cross multiply
    2,463.21x = 3,695.85 × 903.38
  4. Step 4: Simplify right side
    2,463.21x = 3,338,738.49
  5. Step 5: Solve for x
    x = 3,338,738.49/2,463.21
  6. Step 6: Final answer
    x = 1,355.44

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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.