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Finding the Fourth Proportional to 1,640.80, 2,460.29 and 1,178.80

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Solution

The fourth proportional to 1,640.80, 2,460.29 and 1,178.80 is: 1,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.80 : 2,460.29 = 1,178.80 : x
  2. Step 2: Convert to fraction form
    1,640.80/2,460.29 = 1,178.80/x
  3. Step 3: Cross multiply
    1,640.80x = 2,460.29 × 1,178.80
  4. Step 4: Simplify right side
    1,640.80x = 2,900,177.55
  5. Step 5: Solve for x
    x = 2,900,177.55/1,640.80
  6. Step 6: Final answer
    x = 1,767.54

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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.