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Finding the Fourth Proportional to 2,057.49, 3,078.95 and 1,955.43

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Solution

The fourth proportional to 2,057.49, 3,078.95 and 1,955.43 is: 2,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.49 : 3,078.95 = 1,955.43 : x
  2. Step 2: Convert to fraction form
    2,057.49/3,078.95 = 1,955.43/x
  3. Step 3: Cross multiply
    2,057.49x = 3,078.95 × 1,955.43
  4. Step 4: Simplify right side
    2,057.49x = 6,020,661.42
  5. Step 5: Solve for x
    x = 6,020,661.42/2,057.49
  6. Step 6: Final answer
    x = 2,926.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.