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Finding the Fourth Proportional to 1,392.83, 1,923.54 and 1,205.42

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Solution

The fourth proportional to 1,392.83, 1,923.54 and 1,205.42 is: 1,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.83 : 1,923.54 = 1,205.42 : x
  2. Step 2: Convert to fraction form
    1,392.83/1,923.54 = 1,205.42/x
  3. Step 3: Cross multiply
    1,392.83x = 1,923.54 × 1,205.42
  4. Step 4: Simplify right side
    1,392.83x = 2,318,673.59
  5. Step 5: Solve for x
    x = 2,318,673.59/1,392.83
  6. Step 6: Final answer
    x = 1,664.72

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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.