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Finding the Fourth Proportional to 2,389.56, 3,583.72 and 927.91

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Solution

The fourth proportional to 2,389.56, 3,583.72 and 927.91 is: 1,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.56 : 3,583.72 = 927.91 : x
  2. Step 2: Convert to fraction form
    2,389.56/3,583.72 = 927.91/x
  3. Step 3: Cross multiply
    2,389.56x = 3,583.72 × 927.91
  4. Step 4: Simplify right side
    2,389.56x = 3,325,369.63
  5. Step 5: Solve for x
    x = 3,325,369.63/2,389.56
  6. Step 6: Final answer
    x = 1,391.62

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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.