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Finding the Fourth Proportional to 2,056.35, 3,084.88 and 669.54

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Solution

The fourth proportional to 2,056.35, 3,084.88 and 669.54 is: 1,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.35 : 3,084.88 = 669.54 : x
  2. Step 2: Convert to fraction form
    2,056.35/3,084.88 = 669.54/x
  3. Step 3: Cross multiply
    2,056.35x = 3,084.88 × 669.54
  4. Step 4: Simplify right side
    2,056.35x = 2,065,433.46
  5. Step 5: Solve for x
    x = 2,065,433.46/2,056.35
  6. Step 6: Final answer
    x = 1,004.42

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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.