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Finding the Fourth Proportional to 2,986.54, 4,121.29 and 1,660.32

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Solution

The fourth proportional to 2,986.54, 4,121.29 and 1,660.32 is: 2,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.54 : 4,121.29 = 1,660.32 : x
  2. Step 2: Convert to fraction form
    2,986.54/4,121.29 = 1,660.32/x
  3. Step 3: Cross multiply
    2,986.54x = 4,121.29 × 1,660.32
  4. Step 4: Simplify right side
    2,986.54x = 6,842,660.21
  5. Step 5: Solve for x
    x = 6,842,660.21/2,986.54
  6. Step 6: Final answer
    x = 2,291.17

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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.