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Finding the Fourth Proportional to 1,396.32, 1,926.02 and 1,023.32

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Solution

The fourth proportional to 1,396.32, 1,926.02 and 1,023.32 is: 1,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.32 : 1,926.02 = 1,023.32 : x
  2. Step 2: Convert to fraction form
    1,396.32/1,926.02 = 1,023.32/x
  3. Step 3: Cross multiply
    1,396.32x = 1,926.02 × 1,023.32
  4. Step 4: Simplify right side
    1,396.32x = 1,970,920.04
  5. Step 5: Solve for x
    x = 1,970,920.04/1,396.32
  6. Step 6: Final answer
    x = 1,411.51

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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.