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Finding the Fourth Proportional to 2,509.29, 3,766.24 and 1,277.55

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Solution

The fourth proportional to 2,509.29, 3,766.24 and 1,277.55 is: 1,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.29 : 3,766.24 = 1,277.55 : x
  2. Step 2: Convert to fraction form
    2,509.29/3,766.24 = 1,277.55/x
  3. Step 3: Cross multiply
    2,509.29x = 3,766.24 × 1,277.55
  4. Step 4: Simplify right side
    2,509.29x = 4,811,562.94
  5. Step 5: Solve for x
    x = 4,811,562.94/2,509.29
  6. Step 6: Final answer
    x = 1,917.50

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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.