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Finding the Fourth Proportional to 2,371.96, 3,271.60 and 1,584.64

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Solution

The fourth proportional to 2,371.96, 3,271.60 and 1,584.64 is: 2,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.96 : 3,271.60 = 1,584.64 : x
  2. Step 2: Convert to fraction form
    2,371.96/3,271.60 = 1,584.64/x
  3. Step 3: Cross multiply
    2,371.96x = 3,271.60 × 1,584.64
  4. Step 4: Simplify right side
    2,371.96x = 5,184,308.22
  5. Step 5: Solve for x
    x = 5,184,308.22/2,371.96
  6. Step 6: Final answer
    x = 2,185.66

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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.