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Finding the Fourth Proportional to 2,084.06, 3,126.31 and 696.89

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Solution

The fourth proportional to 2,084.06, 3,126.31 and 696.89 is: 1,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.06 : 3,126.31 = 696.89 : x
  2. Step 2: Convert to fraction form
    2,084.06/3,126.31 = 696.89/x
  3. Step 3: Cross multiply
    2,084.06x = 3,126.31 × 696.89
  4. Step 4: Simplify right side
    2,084.06x = 2,178,700.25
  5. Step 5: Solve for x
    x = 2,178,700.25/2,084.06
  6. Step 6: Final answer
    x = 1,045.41

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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.