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Finding the Fourth Proportional to 2,950.47, 4,071.69 and 1,624.23

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Solution

The fourth proportional to 2,950.47, 4,071.69 and 1,624.23 is: 2,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.47 : 4,071.69 = 1,624.23 : x
  2. Step 2: Convert to fraction form
    2,950.47/4,071.69 = 1,624.23/x
  3. Step 3: Cross multiply
    2,950.47x = 4,071.69 × 1,624.23
  4. Step 4: Simplify right side
    2,950.47x = 6,613,361.05
  5. Step 5: Solve for x
    x = 6,613,361.05/2,950.47
  6. Step 6: Final answer
    x = 2,241.46

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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.