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Finding the Fourth Proportional to 2,054.48, 3,080.79 and 959.16

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Solution

The fourth proportional to 2,054.48, 3,080.79 and 959.16 is: 1,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.48 : 3,080.79 = 959.16 : x
  2. Step 2: Convert to fraction form
    2,054.48/3,080.79 = 959.16/x
  3. Step 3: Cross multiply
    2,054.48x = 3,080.79 × 959.16
  4. Step 4: Simplify right side
    2,054.48x = 2,954,970.54
  5. Step 5: Solve for x
    x = 2,954,970.54/2,054.48
  6. Step 6: Final answer
    x = 1,438.31

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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.