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Finding the Fourth Proportional to 2,273.38, 3,410.12 and 713.35

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Solution

The fourth proportional to 2,273.38, 3,410.12 and 713.35 is: 1,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.38 : 3,410.12 = 713.35 : x
  2. Step 2: Convert to fraction form
    2,273.38/3,410.12 = 713.35/x
  3. Step 3: Cross multiply
    2,273.38x = 3,410.12 × 713.35
  4. Step 4: Simplify right side
    2,273.38x = 2,432,605.54
  5. Step 5: Solve for x
    x = 2,432,605.54/2,273.38
  6. Step 6: Final answer
    x = 1,070.04

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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.