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Finding the Fourth Proportional to 2,950.14, 4,071.18 and 1,771.22

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Solution

The fourth proportional to 2,950.14, 4,071.18 and 1,771.22 is: 2,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.14 : 4,071.18 = 1,771.22 : x
  2. Step 2: Convert to fraction form
    2,950.14/4,071.18 = 1,771.22/x
  3. Step 3: Cross multiply
    2,950.14x = 4,071.18 × 1,771.22
  4. Step 4: Simplify right side
    2,950.14x = 7,210,935.08
  5. Step 5: Solve for x
    x = 7,210,935.08/2,950.14
  6. Step 6: Final answer
    x = 2,444.27

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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.