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Finding the Fourth Proportional to 1,786.41, 2,465.25 and 989.70

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Solution

The fourth proportional to 1,786.41, 2,465.25 and 989.70 is: 1,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.41 : 2,465.25 = 989.70 : x
  2. Step 2: Convert to fraction form
    1,786.41/2,465.25 = 989.70/x
  3. Step 3: Cross multiply
    1,786.41x = 2,465.25 × 989.70
  4. Step 4: Simplify right side
    1,786.41x = 2,439,857.93
  5. Step 5: Solve for x
    x = 2,439,857.93/1,786.41
  6. Step 6: Final answer
    x = 1,365.79

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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.