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Finding the Fourth Proportional to 2,629, 3,629.54 and 2,009.16

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Solution

The fourth proportional to 2,629, 3,629.54 and 2,009.16 is: 2,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629 : 3,629.54 = 2,009.16 : x
  2. Step 2: Convert to fraction form
    2,629/3,629.54 = 2,009.16/x
  3. Step 3: Cross multiply
    2,629x = 3,629.54 × 2,009.16
  4. Step 4: Simplify right side
    2,629x = 7,292,326.59
  5. Step 5: Solve for x
    x = 7,292,326.59/2,629
  6. Step 6: Final answer
    x = 2,773.80

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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.