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Finding the Fourth Proportional to 2,635.68, 3,952.35 and 1,402.83

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Solution

The fourth proportional to 2,635.68, 3,952.35 and 1,402.83 is: 2,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.68 : 3,952.35 = 1,402.83 : x
  2. Step 2: Convert to fraction form
    2,635.68/3,952.35 = 1,402.83/x
  3. Step 3: Cross multiply
    2,635.68x = 3,952.35 × 1,402.83
  4. Step 4: Simplify right side
    2,635.68x = 5,544,475.15
  5. Step 5: Solve for x
    x = 5,544,475.15/2,635.68
  6. Step 6: Final answer
    x = 2,103.62

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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.