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Finding the Fourth Proportional to 1,489.29, 2,054.62 and 958.07

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Solution

The fourth proportional to 1,489.29, 2,054.62 and 958.07 is: 1,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.29 : 2,054.62 = 958.07 : x
  2. Step 2: Convert to fraction form
    1,489.29/2,054.62 = 958.07/x
  3. Step 3: Cross multiply
    1,489.29x = 2,054.62 × 958.07
  4. Step 4: Simplify right side
    1,489.29x = 1,968,476.12
  5. Step 5: Solve for x
    x = 1,968,476.12/1,489.29
  6. Step 6: Final answer
    x = 1,321.76

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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.