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Finding the Fourth Proportional to 2,864.82, 4,296.54 and 1,823.26

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Solution

The fourth proportional to 2,864.82, 4,296.54 and 1,823.26 is: 2,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.82 : 4,296.54 = 1,823.26 : x
  2. Step 2: Convert to fraction form
    2,864.82/4,296.54 = 1,823.26/x
  3. Step 3: Cross multiply
    2,864.82x = 4,296.54 × 1,823.26
  4. Step 4: Simplify right side
    2,864.82x = 7,833,709.52
  5. Step 5: Solve for x
    x = 7,833,709.52/2,864.82
  6. Step 6: Final answer
    x = 2,734.45

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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.