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Finding the Fourth Proportional to 2,101.28, 2,912.94 and 2,019.20

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Solution

The fourth proportional to 2,101.28, 2,912.94 and 2,019.20 is: 2,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.28 : 2,912.94 = 2,019.20 : x
  2. Step 2: Convert to fraction form
    2,101.28/2,912.94 = 2,019.20/x
  3. Step 3: Cross multiply
    2,101.28x = 2,912.94 × 2,019.20
  4. Step 4: Simplify right side
    2,101.28x = 5,881,808.45
  5. Step 5: Solve for x
    x = 5,881,808.45/2,101.28
  6. Step 6: Final answer
    x = 2,799.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.