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Finding the Fourth Proportional to 3,009.45, 4,503.08 and 1,824.18

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Solution

The fourth proportional to 3,009.45, 4,503.08 and 1,824.18 is: 2,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.45 : 4,503.08 = 1,824.18 : x
  2. Step 2: Convert to fraction form
    3,009.45/4,503.08 = 1,824.18/x
  3. Step 3: Cross multiply
    3,009.45x = 4,503.08 × 1,824.18
  4. Step 4: Simplify right side
    3,009.45x = 8,214,428.47
  5. Step 5: Solve for x
    x = 8,214,428.47/3,009.45
  6. Step 6: Final answer
    x = 2,729.54

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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.