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Finding the Fourth Proportional to 2,160.57, 3,240.51 and 773.70

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Solution

The fourth proportional to 2,160.57, 3,240.51 and 773.70 is: 1,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.57 : 3,240.51 = 773.70 : x
  2. Step 2: Convert to fraction form
    2,160.57/3,240.51 = 773.70/x
  3. Step 3: Cross multiply
    2,160.57x = 3,240.51 × 773.70
  4. Step 4: Simplify right side
    2,160.57x = 2,507,185.76
  5. Step 5: Solve for x
    x = 2,507,185.76/2,160.57
  6. Step 6: Final answer
    x = 1,160.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.