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Finding the Fourth Proportional to 2,890.81, 4,336.23 and 699.54

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Solution

The fourth proportional to 2,890.81, 4,336.23 and 699.54 is: 1,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.81 : 4,336.23 = 699.54 : x
  2. Step 2: Convert to fraction form
    2,890.81/4,336.23 = 699.54/x
  3. Step 3: Cross multiply
    2,890.81x = 4,336.23 × 699.54
  4. Step 4: Simplify right side
    2,890.81x = 3,033,373.15
  5. Step 5: Solve for x
    x = 3,033,373.15/2,890.81
  6. Step 6: Final answer
    x = 1,049.32

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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.