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Finding the Fourth Proportional to 2,950.64, 4,071.63 and 1,624.41

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Solution

The fourth proportional to 2,950.64, 4,071.63 and 1,624.41 is: 2,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.64 : 4,071.63 = 1,624.41 : x
  2. Step 2: Convert to fraction form
    2,950.64/4,071.63 = 1,624.41/x
  3. Step 3: Cross multiply
    2,950.64x = 4,071.63 × 1,624.41
  4. Step 4: Simplify right side
    2,950.64x = 6,613,996.49
  5. Step 5: Solve for x
    x = 6,613,996.49/2,950.64
  6. Step 6: Final answer
    x = 2,241.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.