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Finding the Fourth Proportional to 1,597.30, 2,204.18 and 934.11

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Solution

The fourth proportional to 1,597.30, 2,204.18 and 934.11 is: 1,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.30 : 2,204.18 = 934.11 : x
  2. Step 2: Convert to fraction form
    1,597.30/2,204.18 = 934.11/x
  3. Step 3: Cross multiply
    1,597.30x = 2,204.18 × 934.11
  4. Step 4: Simplify right side
    1,597.30x = 2,058,947.42
  5. Step 5: Solve for x
    x = 2,058,947.42/1,597.30
  6. Step 6: Final answer
    x = 1,289.02

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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.