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Finding the Fourth Proportional to 1,841.43, 2,763.01 and 1,358.47

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Solution

The fourth proportional to 1,841.43, 2,763.01 and 1,358.47 is: 2,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.43 : 2,763.01 = 1,358.47 : x
  2. Step 2: Convert to fraction form
    1,841.43/2,763.01 = 1,358.47/x
  3. Step 3: Cross multiply
    1,841.43x = 2,763.01 × 1,358.47
  4. Step 4: Simplify right side
    1,841.43x = 3,753,471.35
  5. Step 5: Solve for x
    x = 3,753,471.35/1,841.43
  6. Step 6: Final answer
    x = 2,038.34

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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.