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Finding the Fourth Proportional to 2,705.88, 4,057.38 and 1,246.14

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Solution

The fourth proportional to 2,705.88, 4,057.38 and 1,246.14 is: 1,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.88 : 4,057.38 = 1,246.14 : x
  2. Step 2: Convert to fraction form
    2,705.88/4,057.38 = 1,246.14/x
  3. Step 3: Cross multiply
    2,705.88x = 4,057.38 × 1,246.14
  4. Step 4: Simplify right side
    2,705.88x = 5,056,063.51
  5. Step 5: Solve for x
    x = 5,056,063.51/2,705.88
  6. Step 6: Final answer
    x = 1,868.55

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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.