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Finding the Fourth Proportional to 2,571.59, 3,854.47 and 1,182.05

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Solution

The fourth proportional to 2,571.59, 3,854.47 and 1,182.05 is: 1,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.59 : 3,854.47 = 1,182.05 : x
  2. Step 2: Convert to fraction form
    2,571.59/3,854.47 = 1,182.05/x
  3. Step 3: Cross multiply
    2,571.59x = 3,854.47 × 1,182.05
  4. Step 4: Simplify right side
    2,571.59x = 4,556,179.99
  5. Step 5: Solve for x
    x = 4,556,179.99/2,571.59
  6. Step 6: Final answer
    x = 1,771.74

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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.