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Finding the Fourth Proportional to 2,813.50, 4,220.16 and 2,809.45

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Solution

The fourth proportional to 2,813.50, 4,220.16 and 2,809.45 is: 4,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.50 : 4,220.16 = 2,809.45 : x
  2. Step 2: Convert to fraction form
    2,813.50/4,220.16 = 2,809.45/x
  3. Step 3: Cross multiply
    2,813.50x = 4,220.16 × 2,809.45
  4. Step 4: Simplify right side
    2,813.50x = 11,856,328.51
  5. Step 5: Solve for x
    x = 11,856,328.51/2,813.50
  6. Step 6: Final answer
    x = 4,214.09

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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.