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Finding the Fourth Proportional to 2,144.75, 2,961.18 and 1,646.51

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Solution

The fourth proportional to 2,144.75, 2,961.18 and 1,646.51 is: 2,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.75 : 2,961.18 = 1,646.51 : x
  2. Step 2: Convert to fraction form
    2,144.75/2,961.18 = 1,646.51/x
  3. Step 3: Cross multiply
    2,144.75x = 2,961.18 × 1,646.51
  4. Step 4: Simplify right side
    2,144.75x = 4,875,597.68
  5. Step 5: Solve for x
    x = 4,875,597.68/2,144.75
  6. Step 6: Final answer
    x = 2,273.28

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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.