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Finding the Fourth Proportional to 1,396.64, 1,927.62 and 954.26

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Solution

The fourth proportional to 1,396.64, 1,927.62 and 954.26 is: 1,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.64 : 1,927.62 = 954.26 : x
  2. Step 2: Convert to fraction form
    1,396.64/1,927.62 = 954.26/x
  3. Step 3: Cross multiply
    1,396.64x = 1,927.62 × 954.26
  4. Step 4: Simplify right side
    1,396.64x = 1,839,450.66
  5. Step 5: Solve for x
    x = 1,839,450.66/1,396.64
  6. Step 6: Final answer
    x = 1,317.05

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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.