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Finding the Fourth Proportional to 3,003.66, 4,145.28 and 1,824.30

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Solution

The fourth proportional to 3,003.66, 4,145.28 and 1,824.30 is: 2,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.66 : 4,145.28 = 1,824.30 : x
  2. Step 2: Convert to fraction form
    3,003.66/4,145.28 = 1,824.30/x
  3. Step 3: Cross multiply
    3,003.66x = 4,145.28 × 1,824.30
  4. Step 4: Simplify right side
    3,003.66x = 7,562,234.30
  5. Step 5: Solve for x
    x = 7,562,234.30/3,003.66
  6. Step 6: Final answer
    x = 2,517.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.