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Finding the Fourth Proportional to 1,968.66, 2,950.83 and 940.50

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Solution

The fourth proportional to 1,968.66, 2,950.83 and 940.50 is: 1,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.66 : 2,950.83 = 940.50 : x
  2. Step 2: Convert to fraction form
    1,968.66/2,950.83 = 940.50/x
  3. Step 3: Cross multiply
    1,968.66x = 2,950.83 × 940.50
  4. Step 4: Simplify right side
    1,968.66x = 2,775,255.62
  5. Step 5: Solve for x
    x = 2,775,255.62/1,968.66
  6. Step 6: Final answer
    x = 1,409.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.