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Finding the Fourth Proportional to 2,398.75, 3,597.96 and 1,474.45

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Solution

The fourth proportional to 2,398.75, 3,597.96 and 1,474.45 is: 2,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.75 : 3,597.96 = 1,474.45 : x
  2. Step 2: Convert to fraction form
    2,398.75/3,597.96 = 1,474.45/x
  3. Step 3: Cross multiply
    2,398.75x = 3,597.96 × 1,474.45
  4. Step 4: Simplify right side
    2,398.75x = 5,305,012.12
  5. Step 5: Solve for x
    x = 5,305,012.12/2,398.75
  6. Step 6: Final answer
    x = 2,211.57

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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.