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Finding the Fourth Proportional to 2,509.30, 3,765.30 and 2,145.75

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Solution

The fourth proportional to 2,509.30, 3,765.30 and 2,145.75 is: 3,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.30 : 3,765.30 = 2,145.75 : x
  2. Step 2: Convert to fraction form
    2,509.30/3,765.30 = 2,145.75/x
  3. Step 3: Cross multiply
    2,509.30x = 3,765.30 × 2,145.75
  4. Step 4: Simplify right side
    2,509.30x = 8,079,392.48
  5. Step 5: Solve for x
    x = 8,079,392.48/2,509.30
  6. Step 6: Final answer
    x = 3,219.78

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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.