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Finding the Fourth Proportional to 2,559.56, 3,839.16 and 710.69

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Solution

The fourth proportional to 2,559.56, 3,839.16 and 710.69 is: 1,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.56 : 3,839.16 = 710.69 : x
  2. Step 2: Convert to fraction form
    2,559.56/3,839.16 = 710.69/x
  3. Step 3: Cross multiply
    2,559.56x = 3,839.16 × 710.69
  4. Step 4: Simplify right side
    2,559.56x = 2,728,450.49
  5. Step 5: Solve for x
    x = 2,728,450.49/2,559.56
  6. Step 6: Final answer
    x = 1,065.98

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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.