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Finding the Fourth Proportional to 2,049.84, 3,072.44 and 1,802.57

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Solution

The fourth proportional to 2,049.84, 3,072.44 and 1,802.57 is: 2,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.84 : 3,072.44 = 1,802.57 : x
  2. Step 2: Convert to fraction form
    2,049.84/3,072.44 = 1,802.57/x
  3. Step 3: Cross multiply
    2,049.84x = 3,072.44 × 1,802.57
  4. Step 4: Simplify right side
    2,049.84x = 5,538,288.17
  5. Step 5: Solve for x
    x = 5,538,288.17/2,049.84
  6. Step 6: Final answer
    x = 2,701.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.