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Finding the Fourth Proportional to 2,705.06, 4,060.14 and 2,557.10

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Solution

The fourth proportional to 2,705.06, 4,060.14 and 2,557.10 is: 3,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.06 : 4,060.14 = 2,557.10 : x
  2. Step 2: Convert to fraction form
    2,705.06/4,060.14 = 2,557.10/x
  3. Step 3: Cross multiply
    2,705.06x = 4,060.14 × 2,557.10
  4. Step 4: Simplify right side
    2,705.06x = 10,382,183.99
  5. Step 5: Solve for x
    x = 10,382,183.99/2,705.06
  6. Step 6: Final answer
    x = 3,838.06

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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.