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Finding the Fourth Proportional to 2,974.76, 4,451.10 and 1,800.36

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Solution

The fourth proportional to 2,974.76, 4,451.10 and 1,800.36 is: 2,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.76 : 4,451.10 = 1,800.36 : x
  2. Step 2: Convert to fraction form
    2,974.76/4,451.10 = 1,800.36/x
  3. Step 3: Cross multiply
    2,974.76x = 4,451.10 × 1,800.36
  4. Step 4: Simplify right side
    2,974.76x = 8,013,582.40
  5. Step 5: Solve for x
    x = 8,013,582.40/2,974.76
  6. Step 6: Final answer
    x = 2,693.86

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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.