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Finding the Fourth Proportional to 3,157.30, 4,730.72 and 1,920.97

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Solution

The fourth proportional to 3,157.30, 4,730.72 and 1,920.97 is: 2,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.30 : 4,730.72 = 1,920.97 : x
  2. Step 2: Convert to fraction form
    3,157.30/4,730.72 = 1,920.97/x
  3. Step 3: Cross multiply
    3,157.30x = 4,730.72 × 1,920.97
  4. Step 4: Simplify right side
    3,157.30x = 9,087,571.20
  5. Step 5: Solve for x
    x = 9,087,571.20/3,157.30
  6. Step 6: Final answer
    x = 2,878.27

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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.