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Finding the Fourth Proportional to 2,902.14, 4,005.09 and 1,839.51

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Solution

The fourth proportional to 2,902.14, 4,005.09 and 1,839.51 is: 2,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.14 : 4,005.09 = 1,839.51 : x
  2. Step 2: Convert to fraction form
    2,902.14/4,005.09 = 1,839.51/x
  3. Step 3: Cross multiply
    2,902.14x = 4,005.09 × 1,839.51
  4. Step 4: Simplify right side
    2,902.14x = 7,367,403.11
  5. Step 5: Solve for x
    x = 7,367,403.11/2,902.14
  6. Step 6: Final answer
    x = 2,538.61

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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.