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Finding the Fourth Proportional to 2,771.59, 3,825.06 and 1,592.65

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Solution

The fourth proportional to 2,771.59, 3,825.06 and 1,592.65 is: 2,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.59 : 3,825.06 = 1,592.65 : x
  2. Step 2: Convert to fraction form
    2,771.59/3,825.06 = 1,592.65/x
  3. Step 3: Cross multiply
    2,771.59x = 3,825.06 × 1,592.65
  4. Step 4: Simplify right side
    2,771.59x = 6,091,981.81
  5. Step 5: Solve for x
    x = 6,091,981.81/2,771.59
  6. Step 6: Final answer
    x = 2,198.01

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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.