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Finding the Fourth Proportional to 3,094.95, 4,644.72 and 1,926.65

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Solution

The fourth proportional to 3,094.95, 4,644.72 and 1,926.65 is: 2,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.95 : 4,644.72 = 1,926.65 : x
  2. Step 2: Convert to fraction form
    3,094.95/4,644.72 = 1,926.65/x
  3. Step 3: Cross multiply
    3,094.95x = 4,644.72 × 1,926.65
  4. Step 4: Simplify right side
    3,094.95x = 8,948,736.39
  5. Step 5: Solve for x
    x = 8,948,736.39/3,094.95
  6. Step 6: Final answer
    x = 2,891.40

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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.