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Finding the Fourth Proportional to 3,260.16, 4,891.20 and 1,410.48

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Solution

The fourth proportional to 3,260.16, 4,891.20 and 1,410.48 is: 2,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.16 : 4,891.20 = 1,410.48 : x
  2. Step 2: Convert to fraction form
    3,260.16/4,891.20 = 1,410.48/x
  3. Step 3: Cross multiply
    3,260.16x = 4,891.20 × 1,410.48
  4. Step 4: Simplify right side
    3,260.16x = 6,898,939.78
  5. Step 5: Solve for x
    x = 6,898,939.78/3,260.16
  6. Step 6: Final answer
    x = 2,116.14

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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.