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Finding the Fourth Proportional to 2,436.21, 3,652.26 and 974.57

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Solution

The fourth proportional to 2,436.21, 3,652.26 and 974.57 is: 1,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.21 : 3,652.26 = 974.57 : x
  2. Step 2: Convert to fraction form
    2,436.21/3,652.26 = 974.57/x
  3. Step 3: Cross multiply
    2,436.21x = 3,652.26 × 974.57
  4. Step 4: Simplify right side
    2,436.21x = 3,559,383.03
  5. Step 5: Solve for x
    x = 3,559,383.03/2,436.21
  6. Step 6: Final answer
    x = 1,461.03

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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.