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Finding the Fourth Proportional to 1,967.89, 2,950.91 and 735.27

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Solution

The fourth proportional to 1,967.89, 2,950.91 and 735.27 is: 1,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.89 : 2,950.91 = 735.27 : x
  2. Step 2: Convert to fraction form
    1,967.89/2,950.91 = 735.27/x
  3. Step 3: Cross multiply
    1,967.89x = 2,950.91 × 735.27
  4. Step 4: Simplify right side
    1,967.89x = 2,169,700.84
  5. Step 5: Solve for x
    x = 2,169,700.84/1,967.89
  6. Step 6: Final answer
    x = 1,102.55

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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.