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Finding the Fourth Proportional to 1,827.11, 2,739.40 and 786.80

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Solution

The fourth proportional to 1,827.11, 2,739.40 and 786.80 is: 1,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.11 : 2,739.40 = 786.80 : x
  2. Step 2: Convert to fraction form
    1,827.11/2,739.40 = 786.80/x
  3. Step 3: Cross multiply
    1,827.11x = 2,739.40 × 786.80
  4. Step 4: Simplify right side
    1,827.11x = 2,155,364.80
  5. Step 5: Solve for x
    x = 2,155,364.80/1,827.11
  6. Step 6: Final answer
    x = 1,179.66

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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.