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Finding the Fourth Proportional to 2,824, 3,897.12 and 1,582

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Solution

The fourth proportional to 2,824, 3,897.12 and 1,582 is: 2,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824 : 3,897.12 = 1,582 : x
  2. Step 2: Convert to fraction form
    2,824/3,897.12 = 1,582/x
  3. Step 3: Cross multiply
    2,824x = 3,897.12 × 1,582
  4. Step 4: Simplify right side
    2,824x = 6,165,243.84
  5. Step 5: Solve for x
    x = 6,165,243.84/2,824
  6. Step 6: Final answer
    x = 2,183.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.