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Finding the Fourth Proportional to 1,893.82, 2,837.04 and 1,069.60

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Solution

The fourth proportional to 1,893.82, 2,837.04 and 1,069.60 is: 1,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.82 : 2,837.04 = 1,069.60 : x
  2. Step 2: Convert to fraction form
    1,893.82/2,837.04 = 1,069.60/x
  3. Step 3: Cross multiply
    1,893.82x = 2,837.04 × 1,069.60
  4. Step 4: Simplify right side
    1,893.82x = 3,034,497.98
  5. Step 5: Solve for x
    x = 3,034,497.98/1,893.82
  6. Step 6: Final answer
    x = 1,602.32

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Why These Related Problems?

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