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Finding the Fourth Proportional to 3,182.96, 4,773.86 and 1,428.02

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Solution

The fourth proportional to 3,182.96, 4,773.86 and 1,428.02 is: 2,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.96 : 4,773.86 = 1,428.02 : x
  2. Step 2: Convert to fraction form
    3,182.96/4,773.86 = 1,428.02/x
  3. Step 3: Cross multiply
    3,182.96x = 4,773.86 × 1,428.02
  4. Step 4: Simplify right side
    3,182.96x = 6,817,167.56
  5. Step 5: Solve for x
    x = 6,817,167.56/3,182.96
  6. Step 6: Final answer
    x = 2,141.77

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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.