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Finding the Fourth Proportional to 1,893.21, 2,840.40 and 969.42

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Solution

The fourth proportional to 1,893.21, 2,840.40 and 969.42 is: 1,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.21 : 2,840.40 = 969.42 : x
  2. Step 2: Convert to fraction form
    1,893.21/2,840.40 = 969.42/x
  3. Step 3: Cross multiply
    1,893.21x = 2,840.40 × 969.42
  4. Step 4: Simplify right side
    1,893.21x = 2,753,541.78
  5. Step 5: Solve for x
    x = 2,753,541.78/1,893.21
  6. Step 6: Final answer
    x = 1,454.43

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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.