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Finding the Fourth Proportional to 1,870.74, 2,786.91 and 1,786.50

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Solution

The fourth proportional to 1,870.74, 2,786.91 and 1,786.50 is: 2,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.74 : 2,786.91 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    1,870.74/2,786.91 = 1,786.50/x
  3. Step 3: Cross multiply
    1,870.74x = 2,786.91 × 1,786.50
  4. Step 4: Simplify right side
    1,870.74x = 4,978,814.72
  5. Step 5: Solve for x
    x = 4,978,814.72/1,870.74
  6. Step 6: Final answer
    x = 2,661.41

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