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Finding the Fourth Proportional to 3,003.56, 4,145.40 and 1,824.80

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Solution

The fourth proportional to 3,003.56, 4,145.40 and 1,824.80 is: 2,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.56 : 4,145.40 = 1,824.80 : x
  2. Step 2: Convert to fraction form
    3,003.56/4,145.40 = 1,824.80/x
  3. Step 3: Cross multiply
    3,003.56x = 4,145.40 × 1,824.80
  4. Step 4: Simplify right side
    3,003.56x = 7,564,525.92
  5. Step 5: Solve for x
    x = 7,564,525.92/3,003.56
  6. Step 6: Final answer
    x = 2,518.52

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