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Finding the Fourth Proportional to 1,597.28, 2,204.10 and 934.01

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Solution

The fourth proportional to 1,597.28, 2,204.10 and 934.01 is: 1,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.28 : 2,204.10 = 934.01 : x
  2. Step 2: Convert to fraction form
    1,597.28/2,204.10 = 934.01/x
  3. Step 3: Cross multiply
    1,597.28x = 2,204.10 × 934.01
  4. Step 4: Simplify right side
    1,597.28x = 2,058,651.44
  5. Step 5: Solve for x
    x = 2,058,651.44/1,597.28
  6. Step 6: Final answer
    x = 1,288.85

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