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Finding the Fourth Proportional to 2,536.47, 3,804.64 and 1,148.80

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Solution

The fourth proportional to 2,536.47, 3,804.64 and 1,148.80 is: 1,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.47 : 3,804.64 = 1,148.80 : x
  2. Step 2: Convert to fraction form
    2,536.47/3,804.64 = 1,148.80/x
  3. Step 3: Cross multiply
    2,536.47x = 3,804.64 × 1,148.80
  4. Step 4: Simplify right side
    2,536.47x = 4,370,770.43
  5. Step 5: Solve for x
    x = 4,370,770.43/2,536.47
  6. Step 6: Final answer
    x = 1,723.17

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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.