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Finding the Fourth Proportional to 3,096.60, 4,271.04 and 1,976.64

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Solution

The fourth proportional to 3,096.60, 4,271.04 and 1,976.64 is: 2,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.60 : 4,271.04 = 1,976.64 : x
  2. Step 2: Convert to fraction form
    3,096.60/4,271.04 = 1,976.64/x
  3. Step 3: Cross multiply
    3,096.60x = 4,271.04 × 1,976.64
  4. Step 4: Simplify right side
    3,096.60x = 8,442,308.51
  5. Step 5: Solve for x
    x = 8,442,308.51/3,096.60
  6. Step 6: Final answer
    x = 2,726.32

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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.