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Finding the Fourth Proportional to 2,186.36, 3,278.56 and 705.04

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Solution

The fourth proportional to 2,186.36, 3,278.56 and 705.04 is: 1,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.36 : 3,278.56 = 705.04 : x
  2. Step 2: Convert to fraction form
    2,186.36/3,278.56 = 705.04/x
  3. Step 3: Cross multiply
    2,186.36x = 3,278.56 × 705.04
  4. Step 4: Simplify right side
    2,186.36x = 2,311,515.94
  5. Step 5: Solve for x
    x = 2,311,515.94/2,186.36
  6. Step 6: Final answer
    x = 1,057.24

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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.