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Finding the Fourth Proportional to 2,024, 3,035.96 and 983.82

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Solution

The fourth proportional to 2,024, 3,035.96 and 983.82 is: 1,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 3,035.96 = 983.82 : x
  2. Step 2: Convert to fraction form
    2,024/3,035.96 = 983.82/x
  3. Step 3: Cross multiply
    2,024x = 3,035.96 × 983.82
  4. Step 4: Simplify right side
    2,024x = 2,986,838.17
  5. Step 5: Solve for x
    x = 2,986,838.17/2,024
  6. Step 6: Final answer
    x = 1,475.71

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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.