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Finding the Fourth Proportional to 1,923.74, 2,654.82 and 1,177.69

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Solution

The fourth proportional to 1,923.74, 2,654.82 and 1,177.69 is: 1,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.74 : 2,654.82 = 1,177.69 : x
  2. Step 2: Convert to fraction form
    1,923.74/2,654.82 = 1,177.69/x
  3. Step 3: Cross multiply
    1,923.74x = 2,654.82 × 1,177.69
  4. Step 4: Simplify right side
    1,923.74x = 3,126,554.97
  5. Step 5: Solve for x
    x = 3,126,554.97/1,923.74
  6. Step 6: Final answer
    x = 1,625.25

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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.