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Finding the Fourth Proportional to 1,986.95, 2,743.73 and 1,242.18

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Solution

The fourth proportional to 1,986.95, 2,743.73 and 1,242.18 is: 1,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.95 : 2,743.73 = 1,242.18 : x
  2. Step 2: Convert to fraction form
    1,986.95/2,743.73 = 1,242.18/x
  3. Step 3: Cross multiply
    1,986.95x = 2,743.73 × 1,242.18
  4. Step 4: Simplify right side
    1,986.95x = 3,408,206.53
  5. Step 5: Solve for x
    x = 3,408,206.53/1,986.95
  6. Step 6: Final answer
    x = 1,715.30

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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.