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Finding the Fourth Proportional to 3,188, 4,782 and 1,364

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Solution

The fourth proportional to 3,188, 4,782 and 1,364 is: 2,046

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188 : 4,782 = 1,364 : x
  2. Step 2: Convert to fraction form
    3,188/4,782 = 1,364/x
  3. Step 3: Cross multiply
    3,188x = 4,782 × 1,364
  4. Step 4: Simplify right side
    3,188x = 6,522,648
  5. Step 5: Solve for x
    x = 6,522,648/3,188
  6. Step 6: Final answer
    x = 2,046

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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.