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Finding the Fourth Proportional to 2,649.75, 3,946.62 and 2,510.97

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Solution

The fourth proportional to 2,649.75, 3,946.62 and 2,510.97 is: 3,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.75 : 3,946.62 = 2,510.97 : x
  2. Step 2: Convert to fraction form
    2,649.75/3,946.62 = 2,510.97/x
  3. Step 3: Cross multiply
    2,649.75x = 3,946.62 × 2,510.97
  4. Step 4: Simplify right side
    2,649.75x = 9,909,844.42
  5. Step 5: Solve for x
    x = 9,909,844.42/2,649.75
  6. Step 6: Final answer
    x = 3,739.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.