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Finding the Fourth Proportional to 1,832.67, 2,527.55 and 1,202.72

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Solution

The fourth proportional to 1,832.67, 2,527.55 and 1,202.72 is: 1,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.67 : 2,527.55 = 1,202.72 : x
  2. Step 2: Convert to fraction form
    1,832.67/2,527.55 = 1,202.72/x
  3. Step 3: Cross multiply
    1,832.67x = 2,527.55 × 1,202.72
  4. Step 4: Simplify right side
    1,832.67x = 3,039,916.28
  5. Step 5: Solve for x
    x = 3,039,916.28/1,832.67
  6. Step 6: Final answer
    x = 1,658.74

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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.