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Finding the Fourth Proportional to 2,809.47, 4,214.18 and 2,193.69

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Solution

The fourth proportional to 2,809.47, 4,214.18 and 2,193.69 is: 3,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.47 : 4,214.18 = 2,193.69 : x
  2. Step 2: Convert to fraction form
    2,809.47/4,214.18 = 2,193.69/x
  3. Step 3: Cross multiply
    2,809.47x = 4,214.18 × 2,193.69
  4. Step 4: Simplify right side
    2,809.47x = 9,244,572.48
  5. Step 5: Solve for x
    x = 9,244,572.48/2,809.47
  6. Step 6: Final answer
    x = 3,290.50

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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.