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Finding the Fourth Proportional to 3,493.82, 4,821.40 and 1,900.50

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Solution

The fourth proportional to 3,493.82, 4,821.40 and 1,900.50 is: 2,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.82 : 4,821.40 = 1,900.50 : x
  2. Step 2: Convert to fraction form
    3,493.82/4,821.40 = 1,900.50/x
  3. Step 3: Cross multiply
    3,493.82x = 4,821.40 × 1,900.50
  4. Step 4: Simplify right side
    3,493.82x = 9,163,070.70
  5. Step 5: Solve for x
    x = 9,163,070.70/3,493.82
  6. Step 6: Final answer
    x = 2,622.65

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