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Finding the Fourth Proportional to 2,054.41, 3,066.68 and 1,902.13

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Solution

The fourth proportional to 2,054.41, 3,066.68 and 1,902.13 is: 2,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.41 : 3,066.68 = 1,902.13 : x
  2. Step 2: Convert to fraction form
    2,054.41/3,066.68 = 1,902.13/x
  3. Step 3: Cross multiply
    2,054.41x = 3,066.68 × 1,902.13
  4. Step 4: Simplify right side
    2,054.41x = 5,833,221.12
  5. Step 5: Solve for x
    x = 5,833,221.12/2,054.41
  6. Step 6: Final answer
    x = 2,839.37

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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.