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Finding the Fourth Proportional to 2,135.97, 2,934.23 and 1,873.53

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Solution

The fourth proportional to 2,135.97, 2,934.23 and 1,873.53 is: 2,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.97 : 2,934.23 = 1,873.53 : x
  2. Step 2: Convert to fraction form
    2,135.97/2,934.23 = 1,873.53/x
  3. Step 3: Cross multiply
    2,135.97x = 2,934.23 × 1,873.53
  4. Step 4: Simplify right side
    2,135.97x = 5,497,358.56
  5. Step 5: Solve for x
    x = 5,497,358.56/2,135.97
  6. Step 6: Final answer
    x = 2,573.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.