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Finding the Fourth Proportional to 3,120, 4,305.60 and 1,722.96

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Solution

The fourth proportional to 3,120, 4,305.60 and 1,722.96 is: 2,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 4,305.60 = 1,722.96 : x
  2. Step 2: Convert to fraction form
    3,120/4,305.60 = 1,722.96/x
  3. Step 3: Cross multiply
    3,120x = 4,305.60 × 1,722.96
  4. Step 4: Simplify right side
    3,120x = 7,418,376.58
  5. Step 5: Solve for x
    x = 7,418,376.58/3,120
  6. Step 6: Final answer
    x = 2,377.68

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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.