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Finding the Fourth Proportional to 1,597.35, 2,204 and 934.07

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Solution

The fourth proportional to 1,597.35, 2,204 and 934.07 is: 1,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.35 : 2,204 = 934.07 : x
  2. Step 2: Convert to fraction form
    1,597.35/2,204 = 934.07/x
  3. Step 3: Cross multiply
    1,597.35x = 2,204 × 934.07
  4. Step 4: Simplify right side
    1,597.35x = 2,058,690.28
  5. Step 5: Solve for x
    x = 2,058,690.28/1,597.35
  6. Step 6: Final answer
    x = 1,288.82

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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.