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Finding the Fourth Proportional to 2,950.43, 4,071.08 and 1,771.53

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Solution

The fourth proportional to 2,950.43, 4,071.08 and 1,771.53 is: 2,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.43 : 4,071.08 = 1,771.53 : x
  2. Step 2: Convert to fraction form
    2,950.43/4,071.08 = 1,771.53/x
  3. Step 3: Cross multiply
    2,950.43x = 4,071.08 × 1,771.53
  4. Step 4: Simplify right side
    2,950.43x = 7,212,019.55
  5. Step 5: Solve for x
    x = 7,212,019.55/2,950.43
  6. Step 6: Final answer
    x = 2,444.40

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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.