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Finding the Fourth Proportional to 1,713.73, 2,364.27 and 967.49

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Solution

The fourth proportional to 1,713.73, 2,364.27 and 967.49 is: 1,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.73 : 2,364.27 = 967.49 : x
  2. Step 2: Convert to fraction form
    1,713.73/2,364.27 = 967.49/x
  3. Step 3: Cross multiply
    1,713.73x = 2,364.27 × 967.49
  4. Step 4: Simplify right side
    1,713.73x = 2,287,407.58
  5. Step 5: Solve for x
    x = 2,287,407.58/1,713.73
  6. Step 6: Final answer
    x = 1,334.76

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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.