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Finding the Fourth Proportional to 1,713.46, 2,364.53 and 967.39

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Solution

The fourth proportional to 1,713.46, 2,364.53 and 967.39 is: 1,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.46 : 2,364.53 = 967.39 : x
  2. Step 2: Convert to fraction form
    1,713.46/2,364.53 = 967.39/x
  3. Step 3: Cross multiply
    1,713.46x = 2,364.53 × 967.39
  4. Step 4: Simplify right side
    1,713.46x = 2,287,422.68
  5. Step 5: Solve for x
    x = 2,287,422.68/1,713.46
  6. Step 6: Final answer
    x = 1,334.97

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Why These Related Problems?

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