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Finding the Fourth Proportional to 1,957.28, 2,935.82 and 786.93

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Solution

The fourth proportional to 1,957.28, 2,935.82 and 786.93 is: 1,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.28 : 2,935.82 = 786.93 : x
  2. Step 2: Convert to fraction form
    1,957.28/2,935.82 = 786.93/x
  3. Step 3: Cross multiply
    1,957.28x = 2,935.82 × 786.93
  4. Step 4: Simplify right side
    1,957.28x = 2,310,280.90
  5. Step 5: Solve for x
    x = 2,310,280.90/1,957.28
  6. Step 6: Final answer
    x = 1,180.36

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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.