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Finding the Fourth Proportional to 1,334.44, 1,999.54 and 967.51

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Solution

The fourth proportional to 1,334.44, 1,999.54 and 967.51 is: 1,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.44 : 1,999.54 = 967.51 : x
  2. Step 2: Convert to fraction form
    1,334.44/1,999.54 = 967.51/x
  3. Step 3: Cross multiply
    1,334.44x = 1,999.54 × 967.51
  4. Step 4: Simplify right side
    1,334.44x = 1,934,574.95
  5. Step 5: Solve for x
    x = 1,934,574.95/1,334.44
  6. Step 6: Final answer
    x = 1,449.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.