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Finding the Fourth Proportional to 2,084.95, 3,127.65 and 698.23

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Solution

The fourth proportional to 2,084.95, 3,127.65 and 698.23 is: 1,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.95 : 3,127.65 = 698.23 : x
  2. Step 2: Convert to fraction form
    2,084.95/3,127.65 = 698.23/x
  3. Step 3: Cross multiply
    2,084.95x = 3,127.65 × 698.23
  4. Step 4: Simplify right side
    2,084.95x = 2,183,819.06
  5. Step 5: Solve for x
    x = 2,183,819.06/2,084.95
  6. Step 6: Final answer
    x = 1,047.42

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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.