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Finding the Fourth Proportional to 2,792, 3,852.93 and 1,533

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Solution

The fourth proportional to 2,792, 3,852.93 and 1,533 is: 2,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792 : 3,852.93 = 1,533 : x
  2. Step 2: Convert to fraction form
    2,792/3,852.93 = 1,533/x
  3. Step 3: Cross multiply
    2,792x = 3,852.93 × 1,533
  4. Step 4: Simplify right side
    2,792x = 5,906,541.69
  5. Step 5: Solve for x
    x = 5,906,541.69/2,792
  6. Step 6: Final answer
    x = 2,115.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.