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Finding the Fourth Proportional to 1,732.27, 2,390.55 and 946.33

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Solution

The fourth proportional to 1,732.27, 2,390.55 and 946.33 is: 1,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.27 : 2,390.55 = 946.33 : x
  2. Step 2: Convert to fraction form
    1,732.27/2,390.55 = 946.33/x
  3. Step 3: Cross multiply
    1,732.27x = 2,390.55 × 946.33
  4. Step 4: Simplify right side
    1,732.27x = 2,262,249.18
  5. Step 5: Solve for x
    x = 2,262,249.18/1,732.27
  6. Step 6: Final answer
    x = 1,305.94

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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.