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Finding the Fourth Proportional to 1,957.93, 2,936.81 and 787.58

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Solution

The fourth proportional to 1,957.93, 2,936.81 and 787.58 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.93 : 2,936.81 = 787.58 : x
  2. Step 2: Convert to fraction form
    1,957.93/2,936.81 = 787.58/x
  3. Step 3: Cross multiply
    1,957.93x = 2,936.81 × 787.58
  4. Step 4: Simplify right side
    1,957.93x = 2,312,954.20
  5. Step 5: Solve for x
    x = 2,312,954.20/1,957.93
  6. Step 6: Final answer
    x = 1,181.33

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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.