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Finding the Fourth Proportional to 1,423.72, 1,965.70 and 892.82

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Solution

The fourth proportional to 1,423.72, 1,965.70 and 892.82 is: 1,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.72 : 1,965.70 = 892.82 : x
  2. Step 2: Convert to fraction form
    1,423.72/1,965.70 = 892.82/x
  3. Step 3: Cross multiply
    1,423.72x = 1,965.70 × 892.82
  4. Step 4: Simplify right side
    1,423.72x = 1,755,016.27
  5. Step 5: Solve for x
    x = 1,755,016.27/1,423.72
  6. Step 6: Final answer
    x = 1,232.70

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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.