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Finding the Fourth Proportional to 2,315.68, 3,477.30 and 1,952.80

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Solution

The fourth proportional to 2,315.68, 3,477.30 and 1,952.80 is: 2,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.68 : 3,477.30 = 1,952.80 : x
  2. Step 2: Convert to fraction form
    2,315.68/3,477.30 = 1,952.80/x
  3. Step 3: Cross multiply
    2,315.68x = 3,477.30 × 1,952.80
  4. Step 4: Simplify right side
    2,315.68x = 6,790,471.44
  5. Step 5: Solve for x
    x = 6,790,471.44/2,315.68
  6. Step 6: Final answer
    x = 2,932.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.