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Finding the Fourth Proportional to 2,294.10, 3,165.73 and 1,299.38

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Solution

The fourth proportional to 2,294.10, 3,165.73 and 1,299.38 is: 1,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.10 : 3,165.73 = 1,299.38 : x
  2. Step 2: Convert to fraction form
    2,294.10/3,165.73 = 1,299.38/x
  3. Step 3: Cross multiply
    2,294.10x = 3,165.73 × 1,299.38
  4. Step 4: Simplify right side
    2,294.10x = 4,113,486.25
  5. Step 5: Solve for x
    x = 4,113,486.25/2,294.10
  6. Step 6: Final answer
    x = 1,793.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.