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Finding the Fourth Proportional to 2,615.64, 3,919.62 and 2,536.80

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Solution

The fourth proportional to 2,615.64, 3,919.62 and 2,536.80 is: 3,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.64 : 3,919.62 = 2,536.80 : x
  2. Step 2: Convert to fraction form
    2,615.64/3,919.62 = 2,536.80/x
  3. Step 3: Cross multiply
    2,615.64x = 3,919.62 × 2,536.80
  4. Step 4: Simplify right side
    2,615.64x = 9,943,292.02
  5. Step 5: Solve for x
    x = 9,943,292.02/2,615.64
  6. Step 6: Final answer
    x = 3,801.48

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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.