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Finding the Fourth Proportional to 1,947.65, 2,926.94 and 974.43

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Solution

The fourth proportional to 1,947.65, 2,926.94 and 974.43 is: 1,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.65 : 2,926.94 = 974.43 : x
  2. Step 2: Convert to fraction form
    1,947.65/2,926.94 = 974.43/x
  3. Step 3: Cross multiply
    1,947.65x = 2,926.94 × 974.43
  4. Step 4: Simplify right side
    1,947.65x = 2,852,093.27
  5. Step 5: Solve for x
    x = 2,852,093.27/1,947.65
  6. Step 6: Final answer
    x = 1,464.38

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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.