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Finding the Fourth Proportional to 1,355.43, 2,029.50 and 1,114.86

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Solution

The fourth proportional to 1,355.43, 2,029.50 and 1,114.86 is: 1,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.43 : 2,029.50 = 1,114.86 : x
  2. Step 2: Convert to fraction form
    1,355.43/2,029.50 = 1,114.86/x
  3. Step 3: Cross multiply
    1,355.43x = 2,029.50 × 1,114.86
  4. Step 4: Simplify right side
    1,355.43x = 2,262,608.37
  5. Step 5: Solve for x
    x = 2,262,608.37/1,355.43
  6. Step 6: Final answer
    x = 1,669.29

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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.