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Finding the Fourth Proportional to 1,930.40, 2,896.00 and 776.24

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Solution

The fourth proportional to 1,930.40, 2,896.00 and 776.24 is: 1,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.40 : 2,896.00 = 776.24 : x
  2. Step 2: Convert to fraction form
    1,930.40/2,896.00 = 776.24/x
  3. Step 3: Cross multiply
    1,930.40x = 2,896.00 × 776.24
  4. Step 4: Simplify right side
    1,930.40x = 2,247,972.68
  5. Step 5: Solve for x
    x = 2,247,972.68/1,930.40
  6. Step 6: Final answer
    x = 1,164.51

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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.