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Finding the Fourth Proportional to 3,097.79, 4,278.47 and 2,101.33

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Solution

The fourth proportional to 3,097.79, 4,278.47 and 2,101.33 is: 2,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.79 : 4,278.47 = 2,101.33 : x
  2. Step 2: Convert to fraction form
    3,097.79/4,278.47 = 2,101.33/x
  3. Step 3: Cross multiply
    3,097.79x = 4,278.47 × 2,101.33
  4. Step 4: Simplify right side
    3,097.79x = 8,990,477.37
  5. Step 5: Solve for x
    x = 8,990,477.37/3,097.79
  6. Step 6: Final answer
    x = 2,902.22

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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.