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Finding the Fourth Proportional to 1,950.48, 2,926.17 and 651.96

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Solution

The fourth proportional to 1,950.48, 2,926.17 and 651.96 is: 978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.48 : 2,926.17 = 651.96 : x
  2. Step 2: Convert to fraction form
    1,950.48/2,926.17 = 651.96/x
  3. Step 3: Cross multiply
    1,950.48x = 2,926.17 × 651.96
  4. Step 4: Simplify right side
    1,950.48x = 1,907,745.79
  5. Step 5: Solve for x
    x = 1,907,745.79/1,950.48
  6. Step 6: Final answer
    x = 978.09

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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.