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Finding the Fourth Proportional to 1,842.86, 2,764.29 and 918.85

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Solution

The fourth proportional to 1,842.86, 2,764.29 and 918.85 is: 1,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.86 : 2,764.29 = 918.85 : x
  2. Step 2: Convert to fraction form
    1,842.86/2,764.29 = 918.85/x
  3. Step 3: Cross multiply
    1,842.86x = 2,764.29 × 918.85
  4. Step 4: Simplify right side
    1,842.86x = 2,539,967.87
  5. Step 5: Solve for x
    x = 2,539,967.87/1,842.86
  6. Step 6: Final answer
    x = 1,378.28

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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.