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Finding the Fourth Proportional to 2,061.90, 2,842.19 and 1,562.54

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Solution

The fourth proportional to 2,061.90, 2,842.19 and 1,562.54 is: 2,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.90 : 2,842.19 = 1,562.54 : x
  2. Step 2: Convert to fraction form
    2,061.90/2,842.19 = 1,562.54/x
  3. Step 3: Cross multiply
    2,061.90x = 2,842.19 × 1,562.54
  4. Step 4: Simplify right side
    2,061.90x = 4,441,035.56
  5. Step 5: Solve for x
    x = 4,441,035.56/2,061.90
  6. Step 6: Final answer
    x = 2,153.86

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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.