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Finding the Fourth Proportional to 2,095.84, 3,142.68 and 863.02

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Solution

The fourth proportional to 2,095.84, 3,142.68 and 863.02 is: 1,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.84 : 3,142.68 = 863.02 : x
  2. Step 2: Convert to fraction form
    2,095.84/3,142.68 = 863.02/x
  3. Step 3: Cross multiply
    2,095.84x = 3,142.68 × 863.02
  4. Step 4: Simplify right side
    2,095.84x = 2,712,195.69
  5. Step 5: Solve for x
    x = 2,712,195.69/2,095.84
  6. Step 6: Final answer
    x = 1,294.09

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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.