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Finding the Fourth Proportional to 2,562, 3,842.28 and 1,262.04

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Solution

The fourth proportional to 2,562, 3,842.28 and 1,262.04 is: 1,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562 : 3,842.28 = 1,262.04 : x
  2. Step 2: Convert to fraction form
    2,562/3,842.28 = 1,262.04/x
  3. Step 3: Cross multiply
    2,562x = 3,842.28 × 1,262.04
  4. Step 4: Simplify right side
    2,562x = 4,849,111.05
  5. Step 5: Solve for x
    x = 4,849,111.05/2,562
  6. Step 6: Final answer
    x = 1,892.71

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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.