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Finding the Fourth Proportional to 1,954.68, 2,934.42 and 1,342.32

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Solution

The fourth proportional to 1,954.68, 2,934.42 and 1,342.32 is: 2,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.68 : 2,934.42 = 1,342.32 : x
  2. Step 2: Convert to fraction form
    1,954.68/2,934.42 = 1,342.32/x
  3. Step 3: Cross multiply
    1,954.68x = 2,934.42 × 1,342.32
  4. Step 4: Simplify right side
    1,954.68x = 3,938,930.65
  5. Step 5: Solve for x
    x = 3,938,930.65/1,954.68
  6. Step 6: Final answer
    x = 2,015.13

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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.