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Finding the Fourth Proportional to 3,004.53, 4,147.53 and 1,825.98

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Solution

The fourth proportional to 3,004.53, 4,147.53 and 1,825.98 is: 2,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.53 : 4,147.53 = 1,825.98 : x
  2. Step 2: Convert to fraction form
    3,004.53/4,147.53 = 1,825.98/x
  3. Step 3: Cross multiply
    3,004.53x = 4,147.53 × 1,825.98
  4. Step 4: Simplify right side
    3,004.53x = 7,573,306.83
  5. Step 5: Solve for x
    x = 7,573,306.83/3,004.53
  6. Step 6: Final answer
    x = 2,520.63

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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.