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Finding the Fourth Proportional to 1,644.59, 2,270.00 and 946.19

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Solution

The fourth proportional to 1,644.59, 2,270.00 and 946.19 is: 1,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.59 : 2,270.00 = 946.19 : x
  2. Step 2: Convert to fraction form
    1,644.59/2,270.00 = 946.19/x
  3. Step 3: Cross multiply
    1,644.59x = 2,270.00 × 946.19
  4. Step 4: Simplify right side
    1,644.59x = 2,147,846.57
  5. Step 5: Solve for x
    x = 2,147,846.57/1,644.59
  6. Step 6: Final answer
    x = 1,306.01

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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.