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Finding the Fourth Proportional to 1,894.40, 2,842.31 and 854.09

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Solution

The fourth proportional to 1,894.40, 2,842.31 and 854.09 is: 1,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.40 : 2,842.31 = 854.09 : x
  2. Step 2: Convert to fraction form
    1,894.40/2,842.31 = 854.09/x
  3. Step 3: Cross multiply
    1,894.40x = 2,842.31 × 854.09
  4. Step 4: Simplify right side
    1,894.40x = 2,427,588.55
  5. Step 5: Solve for x
    x = 2,427,588.55/1,894.40
  6. Step 6: Final answer
    x = 1,281.46

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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.