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Finding the Fourth Proportional to 2,557.72, 3,833.52 and 1,325.68

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Solution

The fourth proportional to 2,557.72, 3,833.52 and 1,325.68 is: 1,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.72 : 3,833.52 = 1,325.68 : x
  2. Step 2: Convert to fraction form
    2,557.72/3,833.52 = 1,325.68/x
  3. Step 3: Cross multiply
    2,557.72x = 3,833.52 × 1,325.68
  4. Step 4: Simplify right side
    2,557.72x = 5,082,020.79
  5. Step 5: Solve for x
    x = 5,082,020.79/2,557.72
  6. Step 6: Final answer
    x = 1,986.93

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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.