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Finding the Fourth Proportional to 2,797.23, 4,194 and 1,564.77

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Solution

The fourth proportional to 2,797.23, 4,194 and 1,564.77 is: 2,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.23 : 4,194 = 1,564.77 : x
  2. Step 2: Convert to fraction form
    2,797.23/4,194 = 1,564.77/x
  3. Step 3: Cross multiply
    2,797.23x = 4,194 × 1,564.77
  4. Step 4: Simplify right side
    2,797.23x = 6,562,645.38
  5. Step 5: Solve for x
    x = 6,562,645.38/2,797.23
  6. Step 6: Final answer
    x = 2,346.12

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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.