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Finding the Fourth Proportional to 1,984.68, 2,977.17 and 523.81

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Solution

The fourth proportional to 1,984.68, 2,977.17 and 523.81 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.68 : 2,977.17 = 523.81 : x
  2. Step 2: Convert to fraction form
    1,984.68/2,977.17 = 523.81/x
  3. Step 3: Cross multiply
    1,984.68x = 2,977.17 × 523.81
  4. Step 4: Simplify right side
    1,984.68x = 1,559,471.42
  5. Step 5: Solve for x
    x = 1,559,471.42/1,984.68
  6. Step 6: Final answer
    x = 785.75

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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.