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Finding the Fourth Proportional to 1,782.62, 2,672.10 and 1,600.37

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Solution

The fourth proportional to 1,782.62, 2,672.10 and 1,600.37 is: 2,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.62 : 2,672.10 = 1,600.37 : x
  2. Step 2: Convert to fraction form
    1,782.62/2,672.10 = 1,600.37/x
  3. Step 3: Cross multiply
    1,782.62x = 2,672.10 × 1,600.37
  4. Step 4: Simplify right side
    1,782.62x = 4,276,335.32
  5. Step 5: Solve for x
    x = 4,276,335.32/1,782.62
  6. Step 6: Final answer
    x = 2,398.91

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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.