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Finding the Fourth Proportional to 1,964.60, 2,703.96 and 1,724

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Solution

The fourth proportional to 1,964.60, 2,703.96 and 1,724 is: 2,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.60 : 2,703.96 = 1,724 : x
  2. Step 2: Convert to fraction form
    1,964.60/2,703.96 = 1,724/x
  3. Step 3: Cross multiply
    1,964.60x = 2,703.96 × 1,724
  4. Step 4: Simplify right side
    1,964.60x = 4,661,627.04
  5. Step 5: Solve for x
    x = 4,661,627.04/1,964.60
  6. Step 6: Final answer
    x = 2,372.81

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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.