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Finding the Fourth Proportional to 2,084.90, 3,128.04 and 698.37

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Solution

The fourth proportional to 2,084.90, 3,128.04 and 698.37 is: 1,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.90 : 3,128.04 = 698.37 : x
  2. Step 2: Convert to fraction form
    2,084.90/3,128.04 = 698.37/x
  3. Step 3: Cross multiply
    2,084.90x = 3,128.04 × 698.37
  4. Step 4: Simplify right side
    2,084.90x = 2,184,529.29
  5. Step 5: Solve for x
    x = 2,184,529.29/2,084.90
  6. Step 6: Final answer
    x = 1,047.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.