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Finding the Fourth Proportional to 2,476.54, 3,415.65 and 2,104.75

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Solution

The fourth proportional to 2,476.54, 3,415.65 and 2,104.75 is: 2,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.54 : 3,415.65 = 2,104.75 : x
  2. Step 2: Convert to fraction form
    2,476.54/3,415.65 = 2,104.75/x
  3. Step 3: Cross multiply
    2,476.54x = 3,415.65 × 2,104.75
  4. Step 4: Simplify right side
    2,476.54x = 7,189,072.26
  5. Step 5: Solve for x
    x = 7,189,072.26/2,476.54
  6. Step 6: Final answer
    x = 2,902.88

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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.