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Finding the Fourth Proportional to 1,956.08, 2,935.08 and 860.31

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Solution

The fourth proportional to 1,956.08, 2,935.08 and 860.31 is: 1,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.08 : 2,935.08 = 860.31 : x
  2. Step 2: Convert to fraction form
    1,956.08/2,935.08 = 860.31/x
  3. Step 3: Cross multiply
    1,956.08x = 2,935.08 × 860.31
  4. Step 4: Simplify right side
    1,956.08x = 2,525,078.67
  5. Step 5: Solve for x
    x = 2,525,078.67/1,956.08
  6. Step 6: Final answer
    x = 1,290.89

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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.