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Finding the Fourth Proportional to 2,397.70, 3,597.09 and 1,773.46

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Solution

The fourth proportional to 2,397.70, 3,597.09 and 1,773.46 is: 2,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.70 : 3,597.09 = 1,773.46 : x
  2. Step 2: Convert to fraction form
    2,397.70/3,597.09 = 1,773.46/x
  3. Step 3: Cross multiply
    2,397.70x = 3,597.09 × 1,773.46
  4. Step 4: Simplify right side
    2,397.70x = 6,379,295.23
  5. Step 5: Solve for x
    x = 6,379,295.23/2,397.70
  6. Step 6: Final answer
    x = 2,660.59

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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.