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Finding the Fourth Proportional to 1,713.24, 2,364.06 and 967.14

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Solution

The fourth proportional to 1,713.24, 2,364.06 and 967.14 is: 1,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.24 : 2,364.06 = 967.14 : x
  2. Step 2: Convert to fraction form
    1,713.24/2,364.06 = 967.14/x
  3. Step 3: Cross multiply
    1,713.24x = 2,364.06 × 967.14
  4. Step 4: Simplify right side
    1,713.24x = 2,286,376.99
  5. Step 5: Solve for x
    x = 2,286,376.99/1,713.24
  6. Step 6: Final answer
    x = 1,334.53

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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.