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Finding the Fourth Proportional to 1,642.56, 2,450.36 and 1,524.72

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Solution

The fourth proportional to 1,642.56, 2,450.36 and 1,524.72 is: 2,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.56 : 2,450.36 = 1,524.72 : x
  2. Step 2: Convert to fraction form
    1,642.56/2,450.36 = 1,524.72/x
  3. Step 3: Cross multiply
    1,642.56x = 2,450.36 × 1,524.72
  4. Step 4: Simplify right side
    1,642.56x = 3,736,112.90
  5. Step 5: Solve for x
    x = 3,736,112.90/1,642.56
  6. Step 6: Final answer
    x = 2,274.57

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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.