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Finding the Fourth Proportional to 1,218, 1,827 and 306

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Solution

The fourth proportional to 1,218, 1,827 and 306 is: 459

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218 : 1,827 = 306 : x
  2. Step 2: Convert to fraction form
    1,218/1,827 = 306/x
  3. Step 3: Cross multiply
    1,218x = 1,827 × 306
  4. Step 4: Simplify right side
    1,218x = 559,062
  5. Step 5: Solve for x
    x = 559,062/1,218
  6. Step 6: Final answer
    x = 459

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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.