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Finding the Fourth Proportional to 1,949.59, 2,926.07 and 795.67

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Solution

The fourth proportional to 1,949.59, 2,926.07 and 795.67 is: 1,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.59 : 2,926.07 = 795.67 : x
  2. Step 2: Convert to fraction form
    1,949.59/2,926.07 = 795.67/x
  3. Step 3: Cross multiply
    1,949.59x = 2,926.07 × 795.67
  4. Step 4: Simplify right side
    1,949.59x = 2,328,186.12
  5. Step 5: Solve for x
    x = 2,328,186.12/1,949.59
  6. Step 6: Final answer
    x = 1,194.19

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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.