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Finding the Fourth Proportional to 3,187.73, 4,782.39 and 1,455.95

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Solution

The fourth proportional to 3,187.73, 4,782.39 and 1,455.95 is: 2,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.73 : 4,782.39 = 1,455.95 : x
  2. Step 2: Convert to fraction form
    3,187.73/4,782.39 = 1,455.95/x
  3. Step 3: Cross multiply
    3,187.73x = 4,782.39 × 1,455.95
  4. Step 4: Simplify right side
    3,187.73x = 6,962,896.81
  5. Step 5: Solve for x
    x = 6,962,896.81/3,187.73
  6. Step 6: Final answer
    x = 2,184.28

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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.