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Finding the Fourth Proportional to 2,783.50, 4,174.26 and 1,223.05

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Solution

The fourth proportional to 2,783.50, 4,174.26 and 1,223.05 is: 1,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.50 : 4,174.26 = 1,223.05 : x
  2. Step 2: Convert to fraction form
    2,783.50/4,174.26 = 1,223.05/x
  3. Step 3: Cross multiply
    2,783.50x = 4,174.26 × 1,223.05
  4. Step 4: Simplify right side
    2,783.50x = 5,105,328.69
  5. Step 5: Solve for x
    x = 5,105,328.69/2,783.50
  6. Step 6: Final answer
    x = 1,834.14

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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.