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Finding the Fourth Proportional to 2,219.63, 3,323.57 and 1,778.81

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Solution

The fourth proportional to 2,219.63, 3,323.57 and 1,778.81 is: 2,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.63 : 3,323.57 = 1,778.81 : x
  2. Step 2: Convert to fraction form
    2,219.63/3,323.57 = 1,778.81/x
  3. Step 3: Cross multiply
    2,219.63x = 3,323.57 × 1,778.81
  4. Step 4: Simplify right side
    2,219.63x = 5,911,974.04
  5. Step 5: Solve for x
    x = 5,911,974.04/2,219.63
  6. Step 6: Final answer
    x = 2,663.50

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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.