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Finding the Fourth Proportional to 2,583.03, 3,874.19 and 1,102.44

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Solution

The fourth proportional to 2,583.03, 3,874.19 and 1,102.44 is: 1,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.03 : 3,874.19 = 1,102.44 : x
  2. Step 2: Convert to fraction form
    2,583.03/3,874.19 = 1,102.44/x
  3. Step 3: Cross multiply
    2,583.03x = 3,874.19 × 1,102.44
  4. Step 4: Simplify right side
    2,583.03x = 4,271,056.51
  5. Step 5: Solve for x
    x = 4,271,056.51/2,583.03
  6. Step 6: Final answer
    x = 1,653.51

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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.