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Finding the Fourth Proportional to 2,546.76, 3,820.14 and 698.07

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Solution

The fourth proportional to 2,546.76, 3,820.14 and 698.07 is: 1,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.76 : 3,820.14 = 698.07 : x
  2. Step 2: Convert to fraction form
    2,546.76/3,820.14 = 698.07/x
  3. Step 3: Cross multiply
    2,546.76x = 3,820.14 × 698.07
  4. Step 4: Simplify right side
    2,546.76x = 2,666,725.13
  5. Step 5: Solve for x
    x = 2,666,725.13/2,546.76
  6. Step 6: Final answer
    x = 1,047.11

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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.