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Finding the Fourth Proportional to 1,536.56, 2,292.82 and 1,372.88

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Solution

The fourth proportional to 1,536.56, 2,292.82 and 1,372.88 is: 2,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.56 : 2,292.82 = 1,372.88 : x
  2. Step 2: Convert to fraction form
    1,536.56/2,292.82 = 1,372.88/x
  3. Step 3: Cross multiply
    1,536.56x = 2,292.82 × 1,372.88
  4. Step 4: Simplify right side
    1,536.56x = 3,147,766.72
  5. Step 5: Solve for x
    x = 3,147,766.72/1,536.56
  6. Step 6: Final answer
    x = 2,048.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.