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Finding the Fourth Proportional to 2,738.91, 3,779.58 and 1,559.94

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Solution

The fourth proportional to 2,738.91, 3,779.58 and 1,559.94 is: 2,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.91 : 3,779.58 = 1,559.94 : x
  2. Step 2: Convert to fraction form
    2,738.91/3,779.58 = 1,559.94/x
  3. Step 3: Cross multiply
    2,738.91x = 3,779.58 × 1,559.94
  4. Step 4: Simplify right side
    2,738.91x = 5,895,918.03
  5. Step 5: Solve for x
    x = 5,895,918.03/2,738.91
  6. Step 6: Final answer
    x = 2,152.65

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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.