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Finding the Fourth Proportional to 2,822.85, 3,898.53 and 1,986.12

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Solution

The fourth proportional to 2,822.85, 3,898.53 and 1,986.12 is: 2,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.85 : 3,898.53 = 1,986.12 : x
  2. Step 2: Convert to fraction form
    2,822.85/3,898.53 = 1,986.12/x
  3. Step 3: Cross multiply
    2,822.85x = 3,898.53 × 1,986.12
  4. Step 4: Simplify right side
    2,822.85x = 7,742,948.40
  5. Step 5: Solve for x
    x = 7,742,948.40/2,822.85
  6. Step 6: Final answer
    x = 2,742.95

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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.