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Finding the Fourth Proportional to 1,955.92, 2,920.42 and 1,682.32

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Solution

The fourth proportional to 1,955.92, 2,920.42 and 1,682.32 is: 2,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.92 : 2,920.42 = 1,682.32 : x
  2. Step 2: Convert to fraction form
    1,955.92/2,920.42 = 1,682.32/x
  3. Step 3: Cross multiply
    1,955.92x = 2,920.42 × 1,682.32
  4. Step 4: Simplify right side
    1,955.92x = 4,913,080.97
  5. Step 5: Solve for x
    x = 4,913,080.97/1,955.92
  6. Step 6: Final answer
    x = 2,511.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.