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Finding the Fourth Proportional to 2,463.84, 3,696.30 and 1,003.14

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Solution

The fourth proportional to 2,463.84, 3,696.30 and 1,003.14 is: 1,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.84 : 3,696.30 = 1,003.14 : x
  2. Step 2: Convert to fraction form
    2,463.84/3,696.30 = 1,003.14/x
  3. Step 3: Cross multiply
    2,463.84x = 3,696.30 × 1,003.14
  4. Step 4: Simplify right side
    2,463.84x = 3,707,906.38
  5. Step 5: Solve for x
    x = 3,707,906.38/2,463.84
  6. Step 6: Final answer
    x = 1,504.93

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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.