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Finding the Fourth Proportional to 1,423.37, 1,965.46 and 893.14

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Solution

The fourth proportional to 1,423.37, 1,965.46 and 893.14 is: 1,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.37 : 1,965.46 = 893.14 : x
  2. Step 2: Convert to fraction form
    1,423.37/1,965.46 = 893.14/x
  3. Step 3: Cross multiply
    1,423.37x = 1,965.46 × 893.14
  4. Step 4: Simplify right side
    1,423.37x = 1,755,426.48
  5. Step 5: Solve for x
    x = 1,755,426.48/1,423.37
  6. Step 6: Final answer
    x = 1,233.29

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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.