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Finding the Fourth Proportional to 2,357.28, 3,536.04 and 1,433.84

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Solution

The fourth proportional to 2,357.28, 3,536.04 and 1,433.84 is: 2,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.28 : 3,536.04 = 1,433.84 : x
  2. Step 2: Convert to fraction form
    2,357.28/3,536.04 = 1,433.84/x
  3. Step 3: Cross multiply
    2,357.28x = 3,536.04 × 1,433.84
  4. Step 4: Simplify right side
    2,357.28x = 5,070,115.59
  5. Step 5: Solve for x
    x = 5,070,115.59/2,357.28
  6. Step 6: Final answer
    x = 2,150.83

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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.