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Finding the Fourth Proportional to 2,562.06, 3,842.15 and 918.21

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Solution

The fourth proportional to 2,562.06, 3,842.15 and 918.21 is: 1,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.06 : 3,842.15 = 918.21 : x
  2. Step 2: Convert to fraction form
    2,562.06/3,842.15 = 918.21/x
  3. Step 3: Cross multiply
    2,562.06x = 3,842.15 × 918.21
  4. Step 4: Simplify right side
    2,562.06x = 3,527,895.96
  5. Step 5: Solve for x
    x = 3,527,895.96/2,562.06
  6. Step 6: Final answer
    x = 1,376.98

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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.