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Finding the Fourth Proportional to 1,849.37, 2,774.03 and 462.70

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Solution

The fourth proportional to 1,849.37, 2,774.03 and 462.70 is: 694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.37 : 2,774.03 = 462.70 : x
  2. Step 2: Convert to fraction form
    1,849.37/2,774.03 = 462.70/x
  3. Step 3: Cross multiply
    1,849.37x = 2,774.03 × 462.70
  4. Step 4: Simplify right side
    1,849.37x = 1,283,534.43
  5. Step 5: Solve for x
    x = 1,283,534.43/1,849.37
  6. Step 6: Final answer
    x = 694.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.