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Finding the Fourth Proportional to 2,188, 3,282 and 649

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Solution

The fourth proportional to 2,188, 3,282 and 649 is: 973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,282 = 649 : x
  2. Step 2: Convert to fraction form
    2,188/3,282 = 649/x
  3. Step 3: Cross multiply
    2,188x = 3,282 × 649
  4. Step 4: Simplify right side
    2,188x = 2,130,018
  5. Step 5: Solve for x
    x = 2,130,018/2,188
  6. Step 6: Final answer
    x = 973.50

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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.