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Finding the Fourth Proportional to 1,367.02, 2,049.54 and 673.66

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Solution

The fourth proportional to 1,367.02, 2,049.54 and 673.66 is: 1,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.02 : 2,049.54 = 673.66 : x
  2. Step 2: Convert to fraction form
    1,367.02/2,049.54 = 673.66/x
  3. Step 3: Cross multiply
    1,367.02x = 2,049.54 × 673.66
  4. Step 4: Simplify right side
    1,367.02x = 1,380,693.12
  5. Step 5: Solve for x
    x = 1,380,693.12/1,367.02
  6. Step 6: Final answer
    x = 1,010.00

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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.