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Finding the Fourth Proportional to 2,071.05, 2,855.27 and 1,406.75

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Solution

The fourth proportional to 2,071.05, 2,855.27 and 1,406.75 is: 1,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.05 : 2,855.27 = 1,406.75 : x
  2. Step 2: Convert to fraction form
    2,071.05/2,855.27 = 1,406.75/x
  3. Step 3: Cross multiply
    2,071.05x = 2,855.27 × 1,406.75
  4. Step 4: Simplify right side
    2,071.05x = 4,016,648.46
  5. Step 5: Solve for x
    x = 4,016,648.46/2,071.05
  6. Step 6: Final answer
    x = 1,939.42

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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.