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Finding the Fourth Proportional to 2,012.28, 2,779.02 and 1,601.40

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Solution

The fourth proportional to 2,012.28, 2,779.02 and 1,601.40 is: 2,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.28 : 2,779.02 = 1,601.40 : x
  2. Step 2: Convert to fraction form
    2,012.28/2,779.02 = 1,601.40/x
  3. Step 3: Cross multiply
    2,012.28x = 2,779.02 × 1,601.40
  4. Step 4: Simplify right side
    2,012.28x = 4,450,322.63
  5. Step 5: Solve for x
    x = 4,450,322.63/2,012.28
  6. Step 6: Final answer
    x = 2,211.58

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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.