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Finding the Fourth Proportional to 1,748.72, 2,623.97 and 968.57

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Solution

The fourth proportional to 1,748.72, 2,623.97 and 968.57 is: 1,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.72 : 2,623.97 = 968.57 : x
  2. Step 2: Convert to fraction form
    1,748.72/2,623.97 = 968.57/x
  3. Step 3: Cross multiply
    1,748.72x = 2,623.97 × 968.57
  4. Step 4: Simplify right side
    1,748.72x = 2,541,497.76
  5. Step 5: Solve for x
    x = 2,541,497.76/1,748.72
  6. Step 6: Final answer
    x = 1,453.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.