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Finding the Fourth Proportional to 3,210.60, 4,812.30 and 1,824.60

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Solution

The fourth proportional to 3,210.60, 4,812.30 and 1,824.60 is: 2,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.60 : 4,812.30 = 1,824.60 : x
  2. Step 2: Convert to fraction form
    3,210.60/4,812.30 = 1,824.60/x
  3. Step 3: Cross multiply
    3,210.60x = 4,812.30 × 1,824.60
  4. Step 4: Simplify right side
    3,210.60x = 8,780,522.58
  5. Step 5: Solve for x
    x = 8,780,522.58/3,210.60
  6. Step 6: Final answer
    x = 2,734.85

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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.