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Finding the Fourth Proportional to 2,529,792, 3,794,688 and 756,864

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Solution

The fourth proportional to 2,529,792, 3,794,688 and 756,864 is: 1,135,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,792 : 3,794,688 = 756,864 : x
  2. Step 2: Convert to fraction form
    2,529,792/3,794,688 = 756,864/x
  3. Step 3: Cross multiply
    2,529,792x = 3,794,688 × 756,864
  4. Step 4: Simplify right side
    2,529,792x = 2,872,062,738,432
  5. Step 5: Solve for x
    x = 2,872,062,738,432/2,529,792
  6. Step 6: Final answer
    x = 1,135,296

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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.