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Finding the Fourth Proportional to 2,256.61, 3,382.29 and 939.62

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Solution

The fourth proportional to 2,256.61, 3,382.29 and 939.62 is: 1,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.61 : 3,382.29 = 939.62 : x
  2. Step 2: Convert to fraction form
    2,256.61/3,382.29 = 939.62/x
  3. Step 3: Cross multiply
    2,256.61x = 3,382.29 × 939.62
  4. Step 4: Simplify right side
    2,256.61x = 3,178,062.63
  5. Step 5: Solve for x
    x = 3,178,062.63/2,256.61
  6. Step 6: Final answer
    x = 1,408.34

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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.