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Finding the Fourth Proportional to 1,536.44, 2,316.01 and 1,447.26

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Solution

The fourth proportional to 1,536.44, 2,316.01 and 1,447.26 is: 2,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.44 : 2,316.01 = 1,447.26 : x
  2. Step 2: Convert to fraction form
    1,536.44/2,316.01 = 1,447.26/x
  3. Step 3: Cross multiply
    1,536.44x = 2,316.01 × 1,447.26
  4. Step 4: Simplify right side
    1,536.44x = 3,351,868.63
  5. Step 5: Solve for x
    x = 3,351,868.63/1,536.44
  6. Step 6: Final answer
    x = 2,181.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.