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Finding the Fourth Proportional to 3,064.23, 4,597.07 and 872.97

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Solution

The fourth proportional to 3,064.23, 4,597.07 and 872.97 is: 1,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.23 : 4,597.07 = 872.97 : x
  2. Step 2: Convert to fraction form
    3,064.23/4,597.07 = 872.97/x
  3. Step 3: Cross multiply
    3,064.23x = 4,597.07 × 872.97
  4. Step 4: Simplify right side
    3,064.23x = 4,013,104.20
  5. Step 5: Solve for x
    x = 4,013,104.20/3,064.23
  6. Step 6: Final answer
    x = 1,309.66

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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.