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Finding the Fourth Proportional to 3,260.94, 4,887.66 and 1,410.20

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Solution

The fourth proportional to 3,260.94, 4,887.66 and 1,410.20 is: 2,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.94 : 4,887.66 = 1,410.20 : x
  2. Step 2: Convert to fraction form
    3,260.94/4,887.66 = 1,410.20/x
  3. Step 3: Cross multiply
    3,260.94x = 4,887.66 × 1,410.20
  4. Step 4: Simplify right side
    3,260.94x = 6,892,553.69
  5. Step 5: Solve for x
    x = 6,892,553.69/3,260.94
  6. Step 6: Final answer
    x = 2,113.67

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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.