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Finding the Fourth Proportional to 1,396.84, 2,100.06 and 1,072.36

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Solution

The fourth proportional to 1,396.84, 2,100.06 and 1,072.36 is: 1,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.84 : 2,100.06 = 1,072.36 : x
  2. Step 2: Convert to fraction form
    1,396.84/2,100.06 = 1,072.36/x
  3. Step 3: Cross multiply
    1,396.84x = 2,100.06 × 1,072.36
  4. Step 4: Simplify right side
    1,396.84x = 2,252,020.34
  5. Step 5: Solve for x
    x = 2,252,020.34/1,396.84
  6. Step 6: Final answer
    x = 1,612.22

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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.