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Finding the Fourth Proportional to 1,224, 1,836 and 312

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Solution

The fourth proportional to 1,224, 1,836 and 312 is: 468

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224 : 1,836 = 312 : x
  2. Step 2: Convert to fraction form
    1,224/1,836 = 312/x
  3. Step 3: Cross multiply
    1,224x = 1,836 × 312
  4. Step 4: Simplify right side
    1,224x = 572,832
  5. Step 5: Solve for x
    x = 572,832/1,224
  6. Step 6: Final answer
    x = 468

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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.