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Finding the Fourth Proportional to 2,562.16, 3,845.52 and 1,330.42

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Solution

The fourth proportional to 2,562.16, 3,845.52 and 1,330.42 is: 1,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.16 : 3,845.52 = 1,330.42 : x
  2. Step 2: Convert to fraction form
    2,562.16/3,845.52 = 1,330.42/x
  3. Step 3: Cross multiply
    2,562.16x = 3,845.52 × 1,330.42
  4. Step 4: Simplify right side
    2,562.16x = 5,116,150.07
  5. Step 5: Solve for x
    x = 5,116,150.07/2,562.16
  6. Step 6: Final answer
    x = 1,996.81

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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.