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Finding the Fourth Proportional to 1,396.56, 2,079.66 and 1,381.22

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Solution

The fourth proportional to 1,396.56, 2,079.66 and 1,381.22 is: 2,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.56 : 2,079.66 = 1,381.22 : x
  2. Step 2: Convert to fraction form
    1,396.56/2,079.66 = 1,381.22/x
  3. Step 3: Cross multiply
    1,396.56x = 2,079.66 × 1,381.22
  4. Step 4: Simplify right side
    1,396.56x = 2,872,461.08
  5. Step 5: Solve for x
    x = 2,872,461.08/1,396.56
  6. Step 6: Final answer
    x = 2,056.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.