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Finding the Fourth Proportional to 2,398.55, 3,596.91 and 937.37

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Solution

The fourth proportional to 2,398.55, 3,596.91 and 937.37 is: 1,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.55 : 3,596.91 = 937.37 : x
  2. Step 2: Convert to fraction form
    2,398.55/3,596.91 = 937.37/x
  3. Step 3: Cross multiply
    2,398.55x = 3,596.91 × 937.37
  4. Step 4: Simplify right side
    2,398.55x = 3,371,635.53
  5. Step 5: Solve for x
    x = 3,371,635.53/2,398.55
  6. Step 6: Final answer
    x = 1,405.70

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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.