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Finding the Fourth Proportional to 1,396.80, 1,926 and 1,081.53

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Solution

The fourth proportional to 1,396.80, 1,926 and 1,081.53 is: 1,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.80 : 1,926 = 1,081.53 : x
  2. Step 2: Convert to fraction form
    1,396.80/1,926 = 1,081.53/x
  3. Step 3: Cross multiply
    1,396.80x = 1,926 × 1,081.53
  4. Step 4: Simplify right side
    1,396.80x = 2,083,026.78
  5. Step 5: Solve for x
    x = 2,083,026.78/1,396.80
  6. Step 6: Final answer
    x = 1,491.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.