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Finding the Fourth Proportional to 1,427.64, 2,138.36 and 1,392.79

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Solution

The fourth proportional to 1,427.64, 2,138.36 and 1,392.79 is: 2,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.64 : 2,138.36 = 1,392.79 : x
  2. Step 2: Convert to fraction form
    1,427.64/2,138.36 = 1,392.79/x
  3. Step 3: Cross multiply
    1,427.64x = 2,138.36 × 1,392.79
  4. Step 4: Simplify right side
    1,427.64x = 2,978,279.46
  5. Step 5: Solve for x
    x = 2,978,279.46/1,427.64
  6. Step 6: Final answer
    x = 2,086.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.