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Finding the Fourth Proportional to 1,957.89, 2,936.79 and 571.17

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Solution

The fourth proportional to 1,957.89, 2,936.79 and 571.17 is: 856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.89 : 2,936.79 = 571.17 : x
  2. Step 2: Convert to fraction form
    1,957.89/2,936.79 = 571.17/x
  3. Step 3: Cross multiply
    1,957.89x = 2,936.79 × 571.17
  4. Step 4: Simplify right side
    1,957.89x = 1,677,406.34
  5. Step 5: Solve for x
    x = 1,677,406.34/1,957.89
  6. Step 6: Final answer
    x = 856.74

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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.