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Finding the Fourth Proportional to 2,084.93, 3,127.90 and 698.28

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Solution

The fourth proportional to 2,084.93, 3,127.90 and 698.28 is: 1,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.93 : 3,127.90 = 698.28 : x
  2. Step 2: Convert to fraction form
    2,084.93/3,127.90 = 698.28/x
  3. Step 3: Cross multiply
    2,084.93x = 3,127.90 × 698.28
  4. Step 4: Simplify right side
    2,084.93x = 2,184,150.01
  5. Step 5: Solve for x
    x = 2,184,150.01/2,084.93
  6. Step 6: Final answer
    x = 1,047.59

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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.