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Finding the Fourth Proportional to 1,847.21, 2,770.81 and 1,802.66

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Solution

The fourth proportional to 1,847.21, 2,770.81 and 1,802.66 is: 2,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.21 : 2,770.81 = 1,802.66 : x
  2. Step 2: Convert to fraction form
    1,847.21/2,770.81 = 1,802.66/x
  3. Step 3: Cross multiply
    1,847.21x = 2,770.81 × 1,802.66
  4. Step 4: Simplify right side
    1,847.21x = 4,994,809.99
  5. Step 5: Solve for x
    x = 4,994,809.99/1,847.21
  6. Step 6: Final answer
    x = 2,703.98

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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.