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Finding the Fourth Proportional to 2,978.13, 4,107.13 and 1,859.17

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Solution

The fourth proportional to 2,978.13, 4,107.13 and 1,859.17 is: 2,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.13 : 4,107.13 = 1,859.17 : x
  2. Step 2: Convert to fraction form
    2,978.13/4,107.13 = 1,859.17/x
  3. Step 3: Cross multiply
    2,978.13x = 4,107.13 × 1,859.17
  4. Step 4: Simplify right side
    2,978.13x = 7,635,823.05
  5. Step 5: Solve for x
    x = 7,635,823.05/2,978.13
  6. Step 6: Final answer
    x = 2,563.97

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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.