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Finding the Fourth Proportional to 2,291.96, 3,436.41 and 904.43

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Solution

The fourth proportional to 2,291.96, 3,436.41 and 904.43 is: 1,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.96 : 3,436.41 = 904.43 : x
  2. Step 2: Convert to fraction form
    2,291.96/3,436.41 = 904.43/x
  3. Step 3: Cross multiply
    2,291.96x = 3,436.41 × 904.43
  4. Step 4: Simplify right side
    2,291.96x = 3,107,992.30
  5. Step 5: Solve for x
    x = 3,107,992.30/2,291.96
  6. Step 6: Final answer
    x = 1,356.04

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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.