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Finding the Fourth Proportional to 3,105.56, 4,655.08 and 1,460.80

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Solution

The fourth proportional to 3,105.56, 4,655.08 and 1,460.80 is: 2,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.56 : 4,655.08 = 1,460.80 : x
  2. Step 2: Convert to fraction form
    3,105.56/4,655.08 = 1,460.80/x
  3. Step 3: Cross multiply
    3,105.56x = 4,655.08 × 1,460.80
  4. Step 4: Simplify right side
    3,105.56x = 6,800,140.86
  5. Step 5: Solve for x
    x = 6,800,140.86/3,105.56
  6. Step 6: Final answer
    x = 2,189.67

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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.