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Finding the Fourth Proportional to 1,713.47, 2,364.46 and 967.49

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Solution

The fourth proportional to 1,713.47, 2,364.46 and 967.49 is: 1,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.47 : 2,364.46 = 967.49 : x
  2. Step 2: Convert to fraction form
    1,713.47/2,364.46 = 967.49/x
  3. Step 3: Cross multiply
    1,713.47x = 2,364.46 × 967.49
  4. Step 4: Simplify right side
    1,713.47x = 2,287,599.33
  5. Step 5: Solve for x
    x = 2,287,599.33/1,713.47
  6. Step 6: Final answer
    x = 1,335.07

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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.