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Finding the Fourth Proportional to 2,076.49, 3,114.10 and 689.46

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Solution

The fourth proportional to 2,076.49, 3,114.10 and 689.46 is: 1,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.49 : 3,114.10 = 689.46 : x
  2. Step 2: Convert to fraction form
    2,076.49/3,114.10 = 689.46/x
  3. Step 3: Cross multiply
    2,076.49x = 3,114.10 × 689.46
  4. Step 4: Simplify right side
    2,076.49x = 2,147,050.21
  5. Step 5: Solve for x
    x = 2,147,050.21/2,076.49
  6. Step 6: Final answer
    x = 1,033.98

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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.