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Finding the Fourth Proportional to 1,432.96, 1,975.64 and 1,236.08

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Solution

The fourth proportional to 1,432.96, 1,975.64 and 1,236.08 is: 1,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.96 : 1,975.64 = 1,236.08 : x
  2. Step 2: Convert to fraction form
    1,432.96/1,975.64 = 1,236.08/x
  3. Step 3: Cross multiply
    1,432.96x = 1,975.64 × 1,236.08
  4. Step 4: Simplify right side
    1,432.96x = 2,442,049.09
  5. Step 5: Solve for x
    x = 2,442,049.09/1,432.96
  6. Step 6: Final answer
    x = 1,704.20

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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.