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Finding the Fourth Proportional to 1,956.69, 2,935.44 and 570.07

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Solution

The fourth proportional to 1,956.69, 2,935.44 and 570.07 is: 855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.69 : 2,935.44 = 570.07 : x
  2. Step 2: Convert to fraction form
    1,956.69/2,935.44 = 570.07/x
  3. Step 3: Cross multiply
    1,956.69x = 2,935.44 × 570.07
  4. Step 4: Simplify right side
    1,956.69x = 1,673,406.28
  5. Step 5: Solve for x
    x = 1,673,406.28/1,956.69
  6. Step 6: Final answer
    x = 855.22

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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.