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Finding the Fourth Proportional to 2,398.35, 3,596.84 and 937.16

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Solution

The fourth proportional to 2,398.35, 3,596.84 and 937.16 is: 1,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.35 : 3,596.84 = 937.16 : x
  2. Step 2: Convert to fraction form
    2,398.35/3,596.84 = 937.16/x
  3. Step 3: Cross multiply
    2,398.35x = 3,596.84 × 937.16
  4. Step 4: Simplify right side
    2,398.35x = 3,370,814.57
  5. Step 5: Solve for x
    x = 3,370,814.57/2,398.35
  6. Step 6: Final answer
    x = 1,405.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.