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Finding the Fourth Proportional to 1,388.66, 1,915.81 and 891.23

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Solution

The fourth proportional to 1,388.66, 1,915.81 and 891.23 is: 1,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.66 : 1,915.81 = 891.23 : x
  2. Step 2: Convert to fraction form
    1,388.66/1,915.81 = 891.23/x
  3. Step 3: Cross multiply
    1,388.66x = 1,915.81 × 891.23
  4. Step 4: Simplify right side
    1,388.66x = 1,707,415.54
  5. Step 5: Solve for x
    x = 1,707,415.54/1,388.66
  6. Step 6: Final answer
    x = 1,229.54

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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.