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Finding the Fourth Proportional to 1,784.28, 2,462.37 and 998.40

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Solution

The fourth proportional to 1,784.28, 2,462.37 and 998.40 is: 1,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.28 : 2,462.37 = 998.40 : x
  2. Step 2: Convert to fraction form
    1,784.28/2,462.37 = 998.40/x
  3. Step 3: Cross multiply
    1,784.28x = 2,462.37 × 998.40
  4. Step 4: Simplify right side
    1,784.28x = 2,458,430.21
  5. Step 5: Solve for x
    x = 2,458,430.21/1,784.28
  6. Step 6: Final answer
    x = 1,377.83

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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.