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Finding the Fourth Proportional to 1,844.92, 2,543.10 and 1,214.44

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Solution

The fourth proportional to 1,844.92, 2,543.10 and 1,214.44 is: 1,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.92 : 2,543.10 = 1,214.44 : x
  2. Step 2: Convert to fraction form
    1,844.92/2,543.10 = 1,214.44/x
  3. Step 3: Cross multiply
    1,844.92x = 2,543.10 × 1,214.44
  4. Step 4: Simplify right side
    1,844.92x = 3,088,442.36
  5. Step 5: Solve for x
    x = 3,088,442.36/1,844.92
  6. Step 6: Final answer
    x = 1,674.03

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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.