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Finding the Fourth Proportional to 1,893.72, 2,842.34 and 969.96

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Solution

The fourth proportional to 1,893.72, 2,842.34 and 969.96 is: 1,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.72 : 2,842.34 = 969.96 : x
  2. Step 2: Convert to fraction form
    1,893.72/2,842.34 = 969.96/x
  3. Step 3: Cross multiply
    1,893.72x = 2,842.34 × 969.96
  4. Step 4: Simplify right side
    1,893.72x = 2,756,956.11
  5. Step 5: Solve for x
    x = 2,756,956.11/1,893.72
  6. Step 6: Final answer
    x = 1,455.84

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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.