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Finding the Fourth Proportional to 2,792.62, 3,852.07 and 1,796.17

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Solution

The fourth proportional to 2,792.62, 3,852.07 and 1,796.17 is: 2,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.62 : 3,852.07 = 1,796.17 : x
  2. Step 2: Convert to fraction form
    2,792.62/3,852.07 = 1,796.17/x
  3. Step 3: Cross multiply
    2,792.62x = 3,852.07 × 1,796.17
  4. Step 4: Simplify right side
    2,792.62x = 6,918,953.31
  5. Step 5: Solve for x
    x = 6,918,953.31/2,792.62
  6. Step 6: Final answer
    x = 2,477.59

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1.5x scale

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.