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Finding the Fourth Proportional to 2,344.10, 3,229.86 and 1,923.02

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Solution

The fourth proportional to 2,344.10, 3,229.86 and 1,923.02 is: 2,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.10 : 3,229.86 = 1,923.02 : x
  2. Step 2: Convert to fraction form
    2,344.10/3,229.86 = 1,923.02/x
  3. Step 3: Cross multiply
    2,344.10x = 3,229.86 × 1,923.02
  4. Step 4: Simplify right side
    2,344.10x = 6,211,085.38
  5. Step 5: Solve for x
    x = 6,211,085.38/2,344.10
  6. Step 6: Final answer
    x = 2,649.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.