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Finding the Fourth Proportional to 2,398, 3,597.36 and 859.36

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Solution

The fourth proportional to 2,398, 3,597.36 and 859.36 is: 1,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398 : 3,597.36 = 859.36 : x
  2. Step 2: Convert to fraction form
    2,398/3,597.36 = 859.36/x
  3. Step 3: Cross multiply
    2,398x = 3,597.36 × 859.36
  4. Step 4: Simplify right side
    2,398x = 3,091,427.29
  5. Step 5: Solve for x
    x = 3,091,427.29/2,398
  6. Step 6: Final answer
    x = 1,289.17

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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.