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Finding the Fourth Proportional to 2,273.66, 3,410.30 and 630.08

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Solution

The fourth proportional to 2,273.66, 3,410.30 and 630.08 is: 945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.66 : 3,410.30 = 630.08 : x
  2. Step 2: Convert to fraction form
    2,273.66/3,410.30 = 630.08/x
  3. Step 3: Cross multiply
    2,273.66x = 3,410.30 × 630.08
  4. Step 4: Simplify right side
    2,273.66x = 2,148,761.82
  5. Step 5: Solve for x
    x = 2,148,761.82/2,273.66
  6. Step 6: Final answer
    x = 945.07

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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.