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Finding the Fourth Proportional to 1,394.46, 1,923.03 and 1,062.30

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Solution

The fourth proportional to 1,394.46, 1,923.03 and 1,062.30 is: 1,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.46 : 1,923.03 = 1,062.30 : x
  2. Step 2: Convert to fraction form
    1,394.46/1,923.03 = 1,062.30/x
  3. Step 3: Cross multiply
    1,394.46x = 1,923.03 × 1,062.30
  4. Step 4: Simplify right side
    1,394.46x = 2,042,834.77
  5. Step 5: Solve for x
    x = 2,042,834.77/1,394.46
  6. Step 6: Final answer
    x = 1,464.96

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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.