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Finding the Fourth Proportional to 1,399.42, 2,096.52 and 935.83

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Solution

The fourth proportional to 1,399.42, 2,096.52 and 935.83 is: 1,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.42 : 2,096.52 = 935.83 : x
  2. Step 2: Convert to fraction form
    1,399.42/2,096.52 = 935.83/x
  3. Step 3: Cross multiply
    1,399.42x = 2,096.52 × 935.83
  4. Step 4: Simplify right side
    1,399.42x = 1,961,986.31
  5. Step 5: Solve for x
    x = 1,961,986.31/1,399.42
  6. Step 6: Final answer
    x = 1,402.00

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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.