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Finding the Fourth Proportional to 2,392.73, 3,588.06 and 931.54

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Solution

The fourth proportional to 2,392.73, 3,588.06 and 931.54 is: 1,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.73 : 3,588.06 = 931.54 : x
  2. Step 2: Convert to fraction form
    2,392.73/3,588.06 = 931.54/x
  3. Step 3: Cross multiply
    2,392.73x = 3,588.06 × 931.54
  4. Step 4: Simplify right side
    2,392.73x = 3,342,422.66
  5. Step 5: Solve for x
    x = 3,342,422.66/2,392.73
  6. Step 6: Final answer
    x = 1,396.91

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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.