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Finding the Fourth Proportional to 1,957.45, 2,936.31 and 787.45

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Solution

The fourth proportional to 1,957.45, 2,936.31 and 787.45 is: 1,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.45 : 2,936.31 = 787.45 : x
  2. Step 2: Convert to fraction form
    1,957.45/2,936.31 = 787.45/x
  3. Step 3: Cross multiply
    1,957.45x = 2,936.31 × 787.45
  4. Step 4: Simplify right side
    1,957.45x = 2,312,193.37
  5. Step 5: Solve for x
    x = 2,312,193.37/1,957.45
  6. Step 6: Final answer
    x = 1,181.23

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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.