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Finding the Fourth Proportional to 2,709.75, 4,065.28 and 1,392.98

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Solution

The fourth proportional to 2,709.75, 4,065.28 and 1,392.98 is: 2,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.75 : 4,065.28 = 1,392.98 : x
  2. Step 2: Convert to fraction form
    2,709.75/4,065.28 = 1,392.98/x
  3. Step 3: Cross multiply
    2,709.75x = 4,065.28 × 1,392.98
  4. Step 4: Simplify right side
    2,709.75x = 5,662,860.42
  5. Step 5: Solve for x
    x = 5,662,860.42/2,709.75
  6. Step 6: Final answer
    x = 2,089.81

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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.