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Finding the Fourth Proportional to 1,850.42, 2,775.76 and 617.94

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Solution

The fourth proportional to 1,850.42, 2,775.76 and 617.94 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.42 : 2,775.76 = 617.94 : x
  2. Step 2: Convert to fraction form
    1,850.42/2,775.76 = 617.94/x
  3. Step 3: Cross multiply
    1,850.42x = 2,775.76 × 617.94
  4. Step 4: Simplify right side
    1,850.42x = 1,715,253.13
  5. Step 5: Solve for x
    x = 1,715,253.13/1,850.42
  6. Step 6: Final answer
    x = 926.95

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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.