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Finding the Fourth Proportional to 2,056.60, 3,084.60 and 757.08

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Solution

The fourth proportional to 2,056.60, 3,084.60 and 757.08 is: 1,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.60 : 3,084.60 = 757.08 : x
  2. Step 2: Convert to fraction form
    2,056.60/3,084.60 = 757.08/x
  3. Step 3: Cross multiply
    2,056.60x = 3,084.60 × 757.08
  4. Step 4: Simplify right side
    2,056.60x = 2,335,288.97
  5. Step 5: Solve for x
    x = 2,335,288.97/2,056.60
  6. Step 6: Final answer
    x = 1,135.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.