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Finding the Fourth Proportional to 2,922.23, 4,362.54 and 2,819.72

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Solution

The fourth proportional to 2,922.23, 4,362.54 and 2,819.72 is: 4,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.23 : 4,362.54 = 2,819.72 : x
  2. Step 2: Convert to fraction form
    2,922.23/4,362.54 = 2,819.72/x
  3. Step 3: Cross multiply
    2,922.23x = 4,362.54 × 2,819.72
  4. Step 4: Simplify right side
    2,922.23x = 12,301,119.48
  5. Step 5: Solve for x
    x = 12,301,119.48/2,922.23
  6. Step 6: Final answer
    x = 4,209.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.