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Finding the Fourth Proportional to 2,389.23, 3,583.83 and 929.41

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Solution

The fourth proportional to 2,389.23, 3,583.83 and 929.41 is: 1,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.23 : 3,583.83 = 929.41 : x
  2. Step 2: Convert to fraction form
    2,389.23/3,583.83 = 929.41/x
  3. Step 3: Cross multiply
    2,389.23x = 3,583.83 × 929.41
  4. Step 4: Simplify right side
    2,389.23x = 3,330,847.44
  5. Step 5: Solve for x
    x = 3,330,847.44/2,389.23
  6. Step 6: Final answer
    x = 1,394.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.