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Finding the Fourth Proportional to 2,986.63, 4,121.51 and 1,660.31

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Solution

The fourth proportional to 2,986.63, 4,121.51 and 1,660.31 is: 2,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.63 : 4,121.51 = 1,660.31 : x
  2. Step 2: Convert to fraction form
    2,986.63/4,121.51 = 1,660.31/x
  3. Step 3: Cross multiply
    2,986.63x = 4,121.51 × 1,660.31
  4. Step 4: Simplify right side
    2,986.63x = 6,842,967.81
  5. Step 5: Solve for x
    x = 6,842,967.81/2,986.63
  6. Step 6: Final answer
    x = 2,291.20

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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.