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Finding the Fourth Proportional to 1,843.84, 2,743.20 and 1,829.76

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Solution

The fourth proportional to 1,843.84, 2,743.20 and 1,829.76 is: 2,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.84 : 2,743.20 = 1,829.76 : x
  2. Step 2: Convert to fraction form
    1,843.84/2,743.20 = 1,829.76/x
  3. Step 3: Cross multiply
    1,843.84x = 2,743.20 × 1,829.76
  4. Step 4: Simplify right side
    1,843.84x = 5,019,397.63
  5. Step 5: Solve for x
    x = 5,019,397.63/1,843.84
  6. Step 6: Final answer
    x = 2,722.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.