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Finding the Fourth Proportional to 2,964.74, 4,091.38 and 1,705.82

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Solution

The fourth proportional to 2,964.74, 4,091.38 and 1,705.82 is: 2,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.74 : 4,091.38 = 1,705.82 : x
  2. Step 2: Convert to fraction form
    2,964.74/4,091.38 = 1,705.82/x
  3. Step 3: Cross multiply
    2,964.74x = 4,091.38 × 1,705.82
  4. Step 4: Simplify right side
    2,964.74x = 6,979,157.83
  5. Step 5: Solve for x
    x = 6,979,157.83/2,964.74
  6. Step 6: Final answer
    x = 2,354.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.