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Finding the Fourth Proportional to 1,957.36, 2,936.09 and 570.66

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Solution

The fourth proportional to 1,957.36, 2,936.09 and 570.66 is: 856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.36 : 2,936.09 = 570.66 : x
  2. Step 2: Convert to fraction form
    1,957.36/2,936.09 = 570.66/x
  3. Step 3: Cross multiply
    1,957.36x = 2,936.09 × 570.66
  4. Step 4: Simplify right side
    1,957.36x = 1,675,516.05
  5. Step 5: Solve for x
    x = 1,675,516.05/1,957.36
  6. Step 6: Final answer
    x = 856.01

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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.