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Finding the Fourth Proportional to 1,536.18, 2,302.97 and 548.69

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Solution

The fourth proportional to 1,536.18, 2,302.97 and 548.69 is: 822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.18 : 2,302.97 = 548.69 : x
  2. Step 2: Convert to fraction form
    1,536.18/2,302.97 = 548.69/x
  3. Step 3: Cross multiply
    1,536.18x = 2,302.97 × 548.69
  4. Step 4: Simplify right side
    1,536.18x = 1,263,619.62
  5. Step 5: Solve for x
    x = 1,263,619.62/1,536.18
  6. Step 6: Final answer
    x = 822.57

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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.