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Finding the Fourth Proportional to 2,950.01, 4,071.19 and 1,624

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Solution

The fourth proportional to 2,950.01, 4,071.19 and 1,624 is: 2,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.01 : 4,071.19 = 1,624 : x
  2. Step 2: Convert to fraction form
    2,950.01/4,071.19 = 1,624/x
  3. Step 3: Cross multiply
    2,950.01x = 4,071.19 × 1,624
  4. Step 4: Simplify right side
    2,950.01x = 6,611,612.56
  5. Step 5: Solve for x
    x = 6,611,612.56/2,950.01
  6. Step 6: Final answer
    x = 2,241.22

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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.