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Finding the Fourth Proportional to 2,047.37, 3,069.36 and 1,699.74

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Solution

The fourth proportional to 2,047.37, 3,069.36 and 1,699.74 is: 2,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.37 : 3,069.36 = 1,699.74 : x
  2. Step 2: Convert to fraction form
    2,047.37/3,069.36 = 1,699.74/x
  3. Step 3: Cross multiply
    2,047.37x = 3,069.36 × 1,699.74
  4. Step 4: Simplify right side
    2,047.37x = 5,217,113.97
  5. Step 5: Solve for x
    x = 5,217,113.97/2,047.37
  6. Step 6: Final answer
    x = 2,548.21

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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.