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Finding the Fourth Proportional to 3,101.70, 4,280.69 and 1,843.06

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Solution

The fourth proportional to 3,101.70, 4,280.69 and 1,843.06 is: 2,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.70 : 4,280.69 = 1,843.06 : x
  2. Step 2: Convert to fraction form
    3,101.70/4,280.69 = 1,843.06/x
  3. Step 3: Cross multiply
    3,101.70x = 4,280.69 × 1,843.06
  4. Step 4: Simplify right side
    3,101.70x = 7,889,568.51
  5. Step 5: Solve for x
    x = 7,889,568.51/3,101.70
  6. Step 6: Final answer
    x = 2,543.63

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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.