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Finding the Fourth Proportional to 2,963.70, 4,090.69 and 1,844

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Solution

The fourth proportional to 2,963.70, 4,090.69 and 1,844 is: 2,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.70 : 4,090.69 = 1,844 : x
  2. Step 2: Convert to fraction form
    2,963.70/4,090.69 = 1,844/x
  3. Step 3: Cross multiply
    2,963.70x = 4,090.69 × 1,844
  4. Step 4: Simplify right side
    2,963.70x = 7,543,232.36
  5. Step 5: Solve for x
    x = 7,543,232.36/2,963.70
  6. Step 6: Final answer
    x = 2,545.21

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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.