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Finding the Fourth Proportional to 1,597.09, 2,204.01 and 967.61

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Solution

The fourth proportional to 1,597.09, 2,204.01 and 967.61 is: 1,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.09 : 2,204.01 = 967.61 : x
  2. Step 2: Convert to fraction form
    1,597.09/2,204.01 = 967.61/x
  3. Step 3: Cross multiply
    1,597.09x = 2,204.01 × 967.61
  4. Step 4: Simplify right side
    1,597.09x = 2,132,622.12
  5. Step 5: Solve for x
    x = 2,132,622.12/1,597.09
  6. Step 6: Final answer
    x = 1,335.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.