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Finding the Fourth Proportional to 2,738.89, 3,779.72 and 1,559.98

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Solution

The fourth proportional to 2,738.89, 3,779.72 and 1,559.98 is: 2,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.89 : 3,779.72 = 1,559.98 : x
  2. Step 2: Convert to fraction form
    2,738.89/3,779.72 = 1,559.98/x
  3. Step 3: Cross multiply
    2,738.89x = 3,779.72 × 1,559.98
  4. Step 4: Simplify right side
    2,738.89x = 5,896,287.61
  5. Step 5: Solve for x
    x = 5,896,287.61/2,738.89
  6. Step 6: Final answer
    x = 2,152.80

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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.