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Finding the Fourth Proportional to 1,844.47, 2,543.70 and 1,424.18

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Solution

The fourth proportional to 1,844.47, 2,543.70 and 1,424.18 is: 1,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.47 : 2,543.70 = 1,424.18 : x
  2. Step 2: Convert to fraction form
    1,844.47/2,543.70 = 1,424.18/x
  3. Step 3: Cross multiply
    1,844.47x = 2,543.70 × 1,424.18
  4. Step 4: Simplify right side
    1,844.47x = 3,622,698.37
  5. Step 5: Solve for x
    x = 3,622,698.37/1,844.47
  6. Step 6: Final answer
    x = 1,964.09

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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.