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Finding the Fourth Proportional to 4,812, 7,218 and 1,164

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Solution

The fourth proportional to 4,812, 7,218 and 1,164 is: 1,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812 : 7,218 = 1,164 : x
  2. Step 2: Convert to fraction form
    4,812/7,218 = 1,164/x
  3. Step 3: Cross multiply
    4,812x = 7,218 × 1,164
  4. Step 4: Simplify right side
    4,812x = 8,401,752
  5. Step 5: Solve for x
    x = 8,401,752/4,812
  6. Step 6: Final answer
    x = 1,746

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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.