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Finding the Fourth Proportional to 2,765.70, 4,140.78 and 2,506.20

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Solution

The fourth proportional to 2,765.70, 4,140.78 and 2,506.20 is: 3,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.70 : 4,140.78 = 2,506.20 : x
  2. Step 2: Convert to fraction form
    2,765.70/4,140.78 = 2,506.20/x
  3. Step 3: Cross multiply
    2,765.70x = 4,140.78 × 2,506.20
  4. Step 4: Simplify right side
    2,765.70x = 10,377,622.84
  5. Step 5: Solve for x
    x = 10,377,622.84/2,765.70
  6. Step 6: Final answer
    x = 3,752.26

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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.