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Finding the Fourth Proportional to 1,829.86, 2,744.82 and 659.94

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Solution

The fourth proportional to 1,829.86, 2,744.82 and 659.94 is: 989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.86 : 2,744.82 = 659.94 : x
  2. Step 2: Convert to fraction form
    1,829.86/2,744.82 = 659.94/x
  3. Step 3: Cross multiply
    1,829.86x = 2,744.82 × 659.94
  4. Step 4: Simplify right side
    1,829.86x = 1,811,416.51
  5. Step 5: Solve for x
    x = 1,811,416.51/1,829.86
  6. Step 6: Final answer
    x = 989.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.