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Finding the Fourth Proportional to 3,170.68, 4,374.30 and 1,844.14

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Solution

The fourth proportional to 3,170.68, 4,374.30 and 1,844.14 is: 2,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.68 : 4,374.30 = 1,844.14 : x
  2. Step 2: Convert to fraction form
    3,170.68/4,374.30 = 1,844.14/x
  3. Step 3: Cross multiply
    3,170.68x = 4,374.30 × 1,844.14
  4. Step 4: Simplify right side
    3,170.68x = 8,066,821.60
  5. Step 5: Solve for x
    x = 8,066,821.60/3,170.68
  6. Step 6: Final answer
    x = 2,544.19

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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.