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Finding the Fourth Proportional to 3,283.94, 4,924.46 and 1,230.50

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Solution

The fourth proportional to 3,283.94, 4,924.46 and 1,230.50 is: 1,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.94 : 4,924.46 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    3,283.94/4,924.46 = 1,230.50/x
  3. Step 3: Cross multiply
    3,283.94x = 4,924.46 × 1,230.50
  4. Step 4: Simplify right side
    3,283.94x = 6,059,548.03
  5. Step 5: Solve for x
    x = 6,059,548.03/3,283.94
  6. Step 6: Final answer
    x = 1,845.21

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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.