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Finding the Fourth Proportional to 2,564.84, 3,843.71 and 1,466.88

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Solution

The fourth proportional to 2,564.84, 3,843.71 and 1,466.88 is: 2,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.84 : 3,843.71 = 1,466.88 : x
  2. Step 2: Convert to fraction form
    2,564.84/3,843.71 = 1,466.88/x
  3. Step 3: Cross multiply
    2,564.84x = 3,843.71 × 1,466.88
  4. Step 4: Simplify right side
    2,564.84x = 5,638,253.99
  5. Step 5: Solve for x
    x = 5,638,253.99/2,564.84
  6. Step 6: Final answer
    x = 2,198.29

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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.