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Finding the Fourth Proportional to 3,262.44, 4,893.84 and 1,314.42

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Solution

The fourth proportional to 3,262.44, 4,893.84 and 1,314.42 is: 1,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.44 : 4,893.84 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    3,262.44/4,893.84 = 1,314.42/x
  3. Step 3: Cross multiply
    3,262.44x = 4,893.84 × 1,314.42
  4. Step 4: Simplify right side
    3,262.44x = 6,432,561.17
  5. Step 5: Solve for x
    x = 6,432,561.17/3,262.44
  6. Step 6: Final answer
    x = 1,971.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.