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Finding the Fourth Proportional to 1,644.34, 2,269.65 and 945.94

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Solution

The fourth proportional to 1,644.34, 2,269.65 and 945.94 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.34 : 2,269.65 = 945.94 : x
  2. Step 2: Convert to fraction form
    1,644.34/2,269.65 = 945.94/x
  3. Step 3: Cross multiply
    1,644.34x = 2,269.65 × 945.94
  4. Step 4: Simplify right side
    1,644.34x = 2,146,952.72
  5. Step 5: Solve for x
    x = 2,146,952.72/1,644.34
  6. Step 6: Final answer
    x = 1,305.66

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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.