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Finding the Fourth Proportional to 2,315.25, 3,187.62 and 1,978.56

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Solution

The fourth proportional to 2,315.25, 3,187.62 and 1,978.56 is: 2,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.25 : 3,187.62 = 1,978.56 : x
  2. Step 2: Convert to fraction form
    2,315.25/3,187.62 = 1,978.56/x
  3. Step 3: Cross multiply
    2,315.25x = 3,187.62 × 1,978.56
  4. Step 4: Simplify right side
    2,315.25x = 6,306,897.43
  5. Step 5: Solve for x
    x = 6,306,897.43/2,315.25
  6. Step 6: Final answer
    x = 2,724.07

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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.