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Finding the Fourth Proportional to 3,484.60, 5,230.46 and 1,840.84

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Solution

The fourth proportional to 3,484.60, 5,230.46 and 1,840.84 is: 2,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.60 : 5,230.46 = 1,840.84 : x
  2. Step 2: Convert to fraction form
    3,484.60/5,230.46 = 1,840.84/x
  3. Step 3: Cross multiply
    3,484.60x = 5,230.46 × 1,840.84
  4. Step 4: Simplify right side
    3,484.60x = 9,628,439.99
  5. Step 5: Solve for x
    x = 9,628,439.99/3,484.60
  6. Step 6: Final answer
    x = 2,763.14

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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.