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Finding the Fourth Proportional to 2,313.88, 3,193.15 and 1,265.94

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Solution

The fourth proportional to 2,313.88, 3,193.15 and 1,265.94 is: 1,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.88 : 3,193.15 = 1,265.94 : x
  2. Step 2: Convert to fraction form
    2,313.88/3,193.15 = 1,265.94/x
  3. Step 3: Cross multiply
    2,313.88x = 3,193.15 × 1,265.94
  4. Step 4: Simplify right side
    2,313.88x = 4,042,336.31
  5. Step 5: Solve for x
    x = 4,042,336.31/2,313.88
  6. Step 6: Final answer
    x = 1,746.99

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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.