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Finding the Fourth Proportional to 2,509.19, 3,763.71 and 1,193.89

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Solution

The fourth proportional to 2,509.19, 3,763.71 and 1,193.89 is: 1,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.19 : 3,763.71 = 1,193.89 : x
  2. Step 2: Convert to fraction form
    2,509.19/3,763.71 = 1,193.89/x
  3. Step 3: Cross multiply
    2,509.19x = 3,763.71 × 1,193.89
  4. Step 4: Simplify right side
    2,509.19x = 4,493,455.73
  5. Step 5: Solve for x
    x = 4,493,455.73/2,509.19
  6. Step 6: Final answer
    x = 1,790.80

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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.