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Finding the Fourth Proportional to 2,101.82, 3,138.66 and 1,980.32

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Solution

The fourth proportional to 2,101.82, 3,138.66 and 1,980.32 is: 2,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.82 : 3,138.66 = 1,980.32 : x
  2. Step 2: Convert to fraction form
    2,101.82/3,138.66 = 1,980.32/x
  3. Step 3: Cross multiply
    2,101.82x = 3,138.66 × 1,980.32
  4. Step 4: Simplify right side
    2,101.82x = 6,215,535.48
  5. Step 5: Solve for x
    x = 6,215,535.48/2,101.82
  6. Step 6: Final answer
    x = 2,957.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.