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Finding the Fourth Proportional to 2,056.72, 3,084.60 and 669.70

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Solution

The fourth proportional to 2,056.72, 3,084.60 and 669.70 is: 1,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.72 : 3,084.60 = 669.70 : x
  2. Step 2: Convert to fraction form
    2,056.72/3,084.60 = 669.70/x
  3. Step 3: Cross multiply
    2,056.72x = 3,084.60 × 669.70
  4. Step 4: Simplify right side
    2,056.72x = 2,065,756.62
  5. Step 5: Solve for x
    x = 2,065,756.62/2,056.72
  6. Step 6: Final answer
    x = 1,004.39

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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.