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Finding the Fourth Proportional to 2,424.56, 3,638.46 and 885.56

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Solution

The fourth proportional to 2,424.56, 3,638.46 and 885.56 is: 1,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.56 : 3,638.46 = 885.56 : x
  2. Step 2: Convert to fraction form
    2,424.56/3,638.46 = 885.56/x
  3. Step 3: Cross multiply
    2,424.56x = 3,638.46 × 885.56
  4. Step 4: Simplify right side
    2,424.56x = 3,222,074.64
  5. Step 5: Solve for x
    x = 3,222,074.64/2,424.56
  6. Step 6: Final answer
    x = 1,328.93

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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.