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Finding the Fourth Proportional to 2,083, 3,124.50 and 523.02

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Solution

The fourth proportional to 2,083, 3,124.50 and 523.02 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 3,124.50 = 523.02 : x
  2. Step 2: Convert to fraction form
    2,083/3,124.50 = 523.02/x
  3. Step 3: Cross multiply
    2,083x = 3,124.50 × 523.02
  4. Step 4: Simplify right side
    2,083x = 1,634,175.99
  5. Step 5: Solve for x
    x = 1,634,175.99/2,083
  6. Step 6: Final answer
    x = 784.53

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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.