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Finding the Fourth Proportional to 2,488.96, 3,734.16 and 757.60

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Solution

The fourth proportional to 2,488.96, 3,734.16 and 757.60 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.96 : 3,734.16 = 757.60 : x
  2. Step 2: Convert to fraction form
    2,488.96/3,734.16 = 757.60/x
  3. Step 3: Cross multiply
    2,488.96x = 3,734.16 × 757.60
  4. Step 4: Simplify right side
    2,488.96x = 2,828,999.62
  5. Step 5: Solve for x
    x = 2,828,999.62/2,488.96
  6. Step 6: Final answer
    x = 1,136.62

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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.