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Finding the Fourth Proportional to 2,028.70, 2,800.08 and 1,439.42

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Solution

The fourth proportional to 2,028.70, 2,800.08 and 1,439.42 is: 1,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.70 : 2,800.08 = 1,439.42 : x
  2. Step 2: Convert to fraction form
    2,028.70/2,800.08 = 1,439.42/x
  3. Step 3: Cross multiply
    2,028.70x = 2,800.08 × 1,439.42
  4. Step 4: Simplify right side
    2,028.70x = 4,030,491.15
  5. Step 5: Solve for x
    x = 4,030,491.15/2,028.70
  6. Step 6: Final answer
    x = 1,986.74

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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.