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Finding the Fourth Proportional to 2,361.97, 3,261.48 and 1,971.04

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Solution

The fourth proportional to 2,361.97, 3,261.48 and 1,971.04 is: 2,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.97 : 3,261.48 = 1,971.04 : x
  2. Step 2: Convert to fraction form
    2,361.97/3,261.48 = 1,971.04/x
  3. Step 3: Cross multiply
    2,361.97x = 3,261.48 × 1,971.04
  4. Step 4: Simplify right side
    2,361.97x = 6,428,507.54
  5. Step 5: Solve for x
    x = 6,428,507.54/2,361.97
  6. Step 6: Final answer
    x = 2,721.67

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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.