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Finding the Fourth Proportional to 3,090.46, 4,634.46 and 1,792.84

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Solution

The fourth proportional to 3,090.46, 4,634.46 and 1,792.84 is: 2,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.46 : 4,634.46 = 1,792.84 : x
  2. Step 2: Convert to fraction form
    3,090.46/4,634.46 = 1,792.84/x
  3. Step 3: Cross multiply
    3,090.46x = 4,634.46 × 1,792.84
  4. Step 4: Simplify right side
    3,090.46x = 8,308,845.27
  5. Step 5: Solve for x
    x = 8,308,845.27/3,090.46
  6. Step 6: Final answer
    x = 2,688.55

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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.