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Finding the Fourth Proportional to 1,982.86, 2,974.36 and 522.02

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Solution

The fourth proportional to 1,982.86, 2,974.36 and 522.02 is: 783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.86 : 2,974.36 = 522.02 : x
  2. Step 2: Convert to fraction form
    1,982.86/2,974.36 = 522.02/x
  3. Step 3: Cross multiply
    1,982.86x = 2,974.36 × 522.02
  4. Step 4: Simplify right side
    1,982.86x = 1,552,675.41
  5. Step 5: Solve for x
    x = 1,552,675.41/1,982.86
  6. Step 6: Final answer
    x = 783.05

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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.