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Finding the Fourth Proportional to 2,311.50, 3,466.49 and 924.41

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Solution

The fourth proportional to 2,311.50, 3,466.49 and 924.41 is: 1,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.50 : 3,466.49 = 924.41 : x
  2. Step 2: Convert to fraction form
    2,311.50/3,466.49 = 924.41/x
  3. Step 3: Cross multiply
    2,311.50x = 3,466.49 × 924.41
  4. Step 4: Simplify right side
    2,311.50x = 3,204,436.07
  5. Step 5: Solve for x
    x = 3,204,436.07/2,311.50
  6. Step 6: Final answer
    x = 1,386.30

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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.