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Finding the Fourth Proportional to 1,984.93, 2,977.17 and 524.20

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Solution

The fourth proportional to 1,984.93, 2,977.17 and 524.20 is: 786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.93 : 2,977.17 = 524.20 : x
  2. Step 2: Convert to fraction form
    1,984.93/2,977.17 = 524.20/x
  3. Step 3: Cross multiply
    1,984.93x = 2,977.17 × 524.20
  4. Step 4: Simplify right side
    1,984.93x = 1,560,621.05
  5. Step 5: Solve for x
    x = 1,560,621.05/1,984.93
  6. Step 6: Final answer
    x = 786.23

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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.