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Finding the Fourth Proportional to 2,546.97, 3,820.61 and 698.01

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Solution

The fourth proportional to 2,546.97, 3,820.61 and 698.01 is: 1,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.97 : 3,820.61 = 698.01 : x
  2. Step 2: Convert to fraction form
    2,546.97/3,820.61 = 698.01/x
  3. Step 3: Cross multiply
    2,546.97x = 3,820.61 × 698.01
  4. Step 4: Simplify right side
    2,546.97x = 2,666,823.99
  5. Step 5: Solve for x
    x = 2,666,823.99/2,546.97
  6. Step 6: Final answer
    x = 1,047.06

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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.