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Finding the Fourth Proportional to 1,900.18, 2,850.54 and 601.75

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Solution

The fourth proportional to 1,900.18, 2,850.54 and 601.75 is: 902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.18 : 2,850.54 = 601.75 : x
  2. Step 2: Convert to fraction form
    1,900.18/2,850.54 = 601.75/x
  3. Step 3: Cross multiply
    1,900.18x = 2,850.54 × 601.75
  4. Step 4: Simplify right side
    1,900.18x = 1,715,312.45
  5. Step 5: Solve for x
    x = 1,715,312.45/1,900.18
  6. Step 6: Final answer
    x = 902.71

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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.