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Finding the Fourth Proportional to 1,768.83, 2,652.63 and 845.43

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Solution

The fourth proportional to 1,768.83, 2,652.63 and 845.43 is: 1,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.83 : 2,652.63 = 845.43 : x
  2. Step 2: Convert to fraction form
    1,768.83/2,652.63 = 845.43/x
  3. Step 3: Cross multiply
    1,768.83x = 2,652.63 × 845.43
  4. Step 4: Simplify right side
    1,768.83x = 2,242,612.98
  5. Step 5: Solve for x
    x = 2,242,612.98/1,768.83
  6. Step 6: Final answer
    x = 1,267.85

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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.