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Finding the Fourth Proportional to 1,784.69, 2,462.87 and 998.75

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Solution

The fourth proportional to 1,784.69, 2,462.87 and 998.75 is: 1,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.69 : 2,462.87 = 998.75 : x
  2. Step 2: Convert to fraction form
    1,784.69/2,462.87 = 998.75/x
  3. Step 3: Cross multiply
    1,784.69x = 2,462.87 × 998.75
  4. Step 4: Simplify right side
    1,784.69x = 2,459,791.41
  5. Step 5: Solve for x
    x = 2,459,791.41/1,784.69
  6. Step 6: Final answer
    x = 1,378.27

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1.5x scale

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.