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Finding the Fourth Proportional to 3,515.80, 4,850.50 and 2,023

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Solution

The fourth proportional to 3,515.80, 4,850.50 and 2,023 is: 2,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.80 : 4,850.50 = 2,023 : x
  2. Step 2: Convert to fraction form
    3,515.80/4,850.50 = 2,023/x
  3. Step 3: Cross multiply
    3,515.80x = 4,850.50 × 2,023
  4. Step 4: Simplify right side
    3,515.80x = 9,812,561.50
  5. Step 5: Solve for x
    x = 9,812,561.50/3,515.80
  6. Step 6: Final answer
    x = 2,790.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.