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Finding the Fourth Proportional to 1,784.74, 2,462.94 and 998.94

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Solution

The fourth proportional to 1,784.74, 2,462.94 and 998.94 is: 1,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.74 : 2,462.94 = 998.94 : x
  2. Step 2: Convert to fraction form
    1,784.74/2,462.94 = 998.94/x
  3. Step 3: Cross multiply
    1,784.74x = 2,462.94 × 998.94
  4. Step 4: Simplify right side
    1,784.74x = 2,460,329.28
  5. Step 5: Solve for x
    x = 2,460,329.28/1,784.74
  6. Step 6: Final answer
    x = 1,378.54

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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.