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Finding the Fourth Proportional to 2,536.16, 3,804.59 and 1,149.84

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Solution

The fourth proportional to 2,536.16, 3,804.59 and 1,149.84 is: 1,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.16 : 3,804.59 = 1,149.84 : x
  2. Step 2: Convert to fraction form
    2,536.16/3,804.59 = 1,149.84/x
  3. Step 3: Cross multiply
    2,536.16x = 3,804.59 × 1,149.84
  4. Step 4: Simplify right side
    2,536.16x = 4,374,664.02
  5. Step 5: Solve for x
    x = 4,374,664.02/2,536.16
  6. Step 6: Final answer
    x = 1,724.92

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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.