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Finding the Fourth Proportional to 2,771.09, 4,159.07 and 1,539.89

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Solution

The fourth proportional to 2,771.09, 4,159.07 and 1,539.89 is: 2,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.09 : 4,159.07 = 1,539.89 : x
  2. Step 2: Convert to fraction form
    2,771.09/4,159.07 = 1,539.89/x
  3. Step 3: Cross multiply
    2,771.09x = 4,159.07 × 1,539.89
  4. Step 4: Simplify right side
    2,771.09x = 6,404,510.30
  5. Step 5: Solve for x
    x = 6,404,510.30/2,771.09
  6. Step 6: Final answer
    x = 2,311.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.