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Finding the Fourth Proportional to 4,262.34, 6,389.72 and 1,663.44

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Solution

The fourth proportional to 4,262.34, 6,389.72 and 1,663.44 is: 2,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.34 : 6,389.72 = 1,663.44 : x
  2. Step 2: Convert to fraction form
    4,262.34/6,389.72 = 1,663.44/x
  3. Step 3: Cross multiply
    4,262.34x = 6,389.72 × 1,663.44
  4. Step 4: Simplify right side
    4,262.34x = 10,628,915.84
  5. Step 5: Solve for x
    x = 10,628,915.84/4,262.34
  6. Step 6: Final answer
    x = 2,493.68

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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.