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Finding the Fourth Proportional to 1,644.12, 2,268.78 and 981.06

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Solution

The fourth proportional to 1,644.12, 2,268.78 and 981.06 is: 1,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.12 : 2,268.78 = 981.06 : x
  2. Step 2: Convert to fraction form
    1,644.12/2,268.78 = 981.06/x
  3. Step 3: Cross multiply
    1,644.12x = 2,268.78 × 981.06
  4. Step 4: Simplify right side
    1,644.12x = 2,225,809.31
  5. Step 5: Solve for x
    x = 2,225,809.31/1,644.12
  6. Step 6: Final answer
    x = 1,353.80

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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.