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Finding the Fourth Proportional to 1,334.42, 1,992.00 and 1,274.51

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Solution

The fourth proportional to 1,334.42, 1,992.00 and 1,274.51 is: 1,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.42 : 1,992.00 = 1,274.51 : x
  2. Step 2: Convert to fraction form
    1,334.42/1,992.00 = 1,274.51/x
  3. Step 3: Cross multiply
    1,334.42x = 1,992.00 × 1,274.51
  4. Step 4: Simplify right side
    1,334.42x = 2,538,812.57
  5. Step 5: Solve for x
    x = 2,538,812.57/1,334.42
  6. Step 6: Final answer
    x = 1,902.56

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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.