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Finding the Fourth Proportional to 2,285.84, 3,429.57 and 805.29

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Solution

The fourth proportional to 2,285.84, 3,429.57 and 805.29 is: 1,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.84 : 3,429.57 = 805.29 : x
  2. Step 2: Convert to fraction form
    2,285.84/3,429.57 = 805.29/x
  3. Step 3: Cross multiply
    2,285.84x = 3,429.57 × 805.29
  4. Step 4: Simplify right side
    2,285.84x = 2,761,798.43
  5. Step 5: Solve for x
    x = 2,761,798.43/2,285.84
  6. Step 6: Final answer
    x = 1,208.22

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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.