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Finding the Fourth Proportional to 1,392.56, 1,921.70 and 803.42

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Solution

The fourth proportional to 1,392.56, 1,921.70 and 803.42 is: 1,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.56 : 1,921.70 = 803.42 : x
  2. Step 2: Convert to fraction form
    1,392.56/1,921.70 = 803.42/x
  3. Step 3: Cross multiply
    1,392.56x = 1,921.70 × 803.42
  4. Step 4: Simplify right side
    1,392.56x = 1,543,932.21
  5. Step 5: Solve for x
    x = 1,543,932.21/1,392.56
  6. Step 6: Final answer
    x = 1,108.70

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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.