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Finding the Fourth Proportional to 1,870.73, 2,786.90 and 1,786.49

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Solution

The fourth proportional to 1,870.73, 2,786.90 and 1,786.49 is: 2,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.73 : 2,786.90 = 1,786.49 : x
  2. Step 2: Convert to fraction form
    1,870.73/2,786.90 = 1,786.49/x
  3. Step 3: Cross multiply
    1,870.73x = 2,786.90 × 1,786.49
  4. Step 4: Simplify right side
    1,870.73x = 4,978,768.98
  5. Step 5: Solve for x
    x = 4,978,768.98/1,870.73
  6. Step 6: Final answer
    x = 2,661.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.