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Finding the Fourth Proportional to 1,784.42, 2,462.51 and 998.47

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Solution

The fourth proportional to 1,784.42, 2,462.51 and 998.47 is: 1,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.42 : 2,462.51 = 998.47 : x
  2. Step 2: Convert to fraction form
    1,784.42/2,462.51 = 998.47/x
  3. Step 3: Cross multiply
    1,784.42x = 2,462.51 × 998.47
  4. Step 4: Simplify right side
    1,784.42x = 2,458,725.05
  5. Step 5: Solve for x
    x = 2,458,725.05/1,784.42
  6. Step 6: Final answer
    x = 1,377.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.