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Finding the Fourth Proportional to 3,185.28, 4,780.80 and 2,160

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Solution

The fourth proportional to 3,185.28, 4,780.80 and 2,160 is: 3,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.28 : 4,780.80 = 2,160 : x
  2. Step 2: Convert to fraction form
    3,185.28/4,780.80 = 2,160/x
  3. Step 3: Cross multiply
    3,185.28x = 4,780.80 × 2,160
  4. Step 4: Simplify right side
    3,185.28x = 10,326,528
  5. Step 5: Solve for x
    x = 10,326,528/3,185.28
  6. Step 6: Final answer
    x = 3,241.95

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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.