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Finding the Fourth Proportional to 2,313.63, 3,193.02 and 1,318.95

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Solution

The fourth proportional to 2,313.63, 3,193.02 and 1,318.95 is: 1,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.63 : 3,193.02 = 1,318.95 : x
  2. Step 2: Convert to fraction form
    2,313.63/3,193.02 = 1,318.95/x
  3. Step 3: Cross multiply
    2,313.63x = 3,193.02 × 1,318.95
  4. Step 4: Simplify right side
    2,313.63x = 4,211,433.73
  5. Step 5: Solve for x
    x = 4,211,433.73/2,313.63
  6. Step 6: Final answer
    x = 1,820.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.