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Finding the Fourth Proportional to 1,644.16, 2,268.84 and 1,014.52

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Solution

The fourth proportional to 1,644.16, 2,268.84 and 1,014.52 is: 1,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.16 : 2,268.84 = 1,014.52 : x
  2. Step 2: Convert to fraction form
    1,644.16/2,268.84 = 1,014.52/x
  3. Step 3: Cross multiply
    1,644.16x = 2,268.84 × 1,014.52
  4. Step 4: Simplify right side
    1,644.16x = 2,301,783.56
  5. Step 5: Solve for x
    x = 2,301,783.56/1,644.16
  6. Step 6: Final answer
    x = 1,399.98

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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.