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Finding the Fourth Proportional to 1,986.95, 2,735.76 and 1,687.57

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Solution

The fourth proportional to 1,986.95, 2,735.76 and 1,687.57 is: 2,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.95 : 2,735.76 = 1,687.57 : x
  2. Step 2: Convert to fraction form
    1,986.95/2,735.76 = 1,687.57/x
  3. Step 3: Cross multiply
    1,986.95x = 2,735.76 × 1,687.57
  4. Step 4: Simplify right side
    1,986.95x = 4,616,786.50
  5. Step 5: Solve for x
    x = 4,616,786.50/1,986.95
  6. Step 6: Final answer
    x = 2,323.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.