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Finding the Fourth Proportional to 2,408.56, 3,322.80 and 1,885.84

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Solution

The fourth proportional to 2,408.56, 3,322.80 and 1,885.84 is: 2,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.56 : 3,322.80 = 1,885.84 : x
  2. Step 2: Convert to fraction form
    2,408.56/3,322.80 = 1,885.84/x
  3. Step 3: Cross multiply
    2,408.56x = 3,322.80 × 1,885.84
  4. Step 4: Simplify right side
    2,408.56x = 6,266,269.15
  5. Step 5: Solve for x
    x = 6,266,269.15/2,408.56
  6. Step 6: Final answer
    x = 2,601.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.