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Finding the Fourth Proportional to 2,706.89, 4,061.68 and 1,520.19

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Solution

The fourth proportional to 2,706.89, 4,061.68 and 1,520.19 is: 2,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.89 : 4,061.68 = 1,520.19 : x
  2. Step 2: Convert to fraction form
    2,706.89/4,061.68 = 1,520.19/x
  3. Step 3: Cross multiply
    2,706.89x = 4,061.68 × 1,520.19
  4. Step 4: Simplify right side
    2,706.89x = 6,174,539.27
  5. Step 5: Solve for x
    x = 6,174,539.27/2,706.89
  6. Step 6: Final answer
    x = 2,281.04

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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.