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Finding the Fourth Proportional to 2,571.39, 3,853.71 and 1,184.54

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Solution

The fourth proportional to 2,571.39, 3,853.71 and 1,184.54 is: 1,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.39 : 3,853.71 = 1,184.54 : x
  2. Step 2: Convert to fraction form
    2,571.39/3,853.71 = 1,184.54/x
  3. Step 3: Cross multiply
    2,571.39x = 3,853.71 × 1,184.54
  4. Step 4: Simplify right side
    2,571.39x = 4,564,854.37
  5. Step 5: Solve for x
    x = 4,564,854.37/2,571.39
  6. Step 6: Final answer
    x = 1,775.25

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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.