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Finding the Fourth Proportional to 2,545.47, 3,510.81 and 1,649.34

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Solution

The fourth proportional to 2,545.47, 3,510.81 and 1,649.34 is: 2,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.47 : 3,510.81 = 1,649.34 : x
  2. Step 2: Convert to fraction form
    2,545.47/3,510.81 = 1,649.34/x
  3. Step 3: Cross multiply
    2,545.47x = 3,510.81 × 1,649.34
  4. Step 4: Simplify right side
    2,545.47x = 5,790,519.37
  5. Step 5: Solve for x
    x = 5,790,519.37/2,545.47
  6. Step 6: Final answer
    x = 2,274.83

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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.