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Finding the Fourth Proportional to 2,398.34, 3,597.62 and 838.51

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Solution

The fourth proportional to 2,398.34, 3,597.62 and 838.51 is: 1,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.34 : 3,597.62 = 838.51 : x
  2. Step 2: Convert to fraction form
    2,398.34/3,597.62 = 838.51/x
  3. Step 3: Cross multiply
    2,398.34x = 3,597.62 × 838.51
  4. Step 4: Simplify right side
    2,398.34x = 3,016,627.16
  5. Step 5: Solve for x
    x = 3,016,627.16/2,398.34
  6. Step 6: Final answer
    x = 1,257.80

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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.