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Finding the Fourth Proportional to 1,644.14, 2,268.42 and 1,014.74

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Solution

The fourth proportional to 1,644.14, 2,268.42 and 1,014.74 is: 1,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.14 : 2,268.42 = 1,014.74 : x
  2. Step 2: Convert to fraction form
    1,644.14/2,268.42 = 1,014.74/x
  3. Step 3: Cross multiply
    1,644.14x = 2,268.42 × 1,014.74
  4. Step 4: Simplify right side
    1,644.14x = 2,301,856.51
  5. Step 5: Solve for x
    x = 2,301,856.51/1,644.14
  6. Step 6: Final answer
    x = 1,400.04

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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.