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Finding the Fourth Proportional to 2,536.75, 3,500.72 and 1,432.75

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Solution

The fourth proportional to 2,536.75, 3,500.72 and 1,432.75 is: 1,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.75 : 3,500.72 = 1,432.75 : x
  2. Step 2: Convert to fraction form
    2,536.75/3,500.72 = 1,432.75/x
  3. Step 3: Cross multiply
    2,536.75x = 3,500.72 × 1,432.75
  4. Step 4: Simplify right side
    2,536.75x = 5,015,656.58
  5. Step 5: Solve for x
    x = 5,015,656.58/2,536.75
  6. Step 6: Final answer
    x = 1,977.20

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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.