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Finding the Fourth Proportional to 1,962.92, 2,946.54 and 1,760.96

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Solution

The fourth proportional to 1,962.92, 2,946.54 and 1,760.96 is: 2,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.92 : 2,946.54 = 1,760.96 : x
  2. Step 2: Convert to fraction form
    1,962.92/2,946.54 = 1,760.96/x
  3. Step 3: Cross multiply
    1,962.92x = 2,946.54 × 1,760.96
  4. Step 4: Simplify right side
    1,962.92x = 5,188,739.08
  5. Step 5: Solve for x
    x = 5,188,739.08/1,962.92
  6. Step 6: Final answer
    x = 2,643.38

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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.