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Finding the Fourth Proportional to 3,049.90, 4,575.72 and 1,295.64

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Solution

The fourth proportional to 3,049.90, 4,575.72 and 1,295.64 is: 1,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.90 : 4,575.72 = 1,295.64 : x
  2. Step 2: Convert to fraction form
    3,049.90/4,575.72 = 1,295.64/x
  3. Step 3: Cross multiply
    3,049.90x = 4,575.72 × 1,295.64
  4. Step 4: Simplify right side
    3,049.90x = 5,928,485.86
  5. Step 5: Solve for x
    x = 5,928,485.86/3,049.90
  6. Step 6: Final answer
    x = 1,943.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.