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Finding the Fourth Proportional to 2,509.99, 3,763.15 and 1,049.56

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Solution

The fourth proportional to 2,509.99, 3,763.15 and 1,049.56 is: 1,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.99 : 3,763.15 = 1,049.56 : x
  2. Step 2: Convert to fraction form
    2,509.99/3,763.15 = 1,049.56/x
  3. Step 3: Cross multiply
    2,509.99x = 3,763.15 × 1,049.56
  4. Step 4: Simplify right side
    2,509.99x = 3,949,651.71
  5. Step 5: Solve for x
    x = 3,949,651.71/2,509.99
  6. Step 6: Final answer
    x = 1,573.57

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Why These Related Problems?

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