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Finding the Fourth Proportional to 1,427.46, 1,969.35 and 867.73

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Solution

The fourth proportional to 1,427.46, 1,969.35 and 867.73 is: 1,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.46 : 1,969.35 = 867.73 : x
  2. Step 2: Convert to fraction form
    1,427.46/1,969.35 = 867.73/x
  3. Step 3: Cross multiply
    1,427.46x = 1,969.35 × 867.73
  4. Step 4: Simplify right side
    1,427.46x = 1,708,864.08
  5. Step 5: Solve for x
    x = 1,708,864.08/1,427.46
  6. Step 6: Final answer
    x = 1,197.14

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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.