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Finding the Fourth Proportional to 2,923.85, 4,385.24 and 843.35

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Solution

The fourth proportional to 2,923.85, 4,385.24 and 843.35 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.85 : 4,385.24 = 843.35 : x
  2. Step 2: Convert to fraction form
    2,923.85/4,385.24 = 843.35/x
  3. Step 3: Cross multiply
    2,923.85x = 4,385.24 × 843.35
  4. Step 4: Simplify right side
    2,923.85x = 3,698,272.34
  5. Step 5: Solve for x
    x = 3,698,272.34/2,923.85
  6. Step 6: Final answer
    x = 1,264.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.