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Finding the Fourth Proportional to 2,923.13, 4,385.37 and 843.15

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Solution

The fourth proportional to 2,923.13, 4,385.37 and 843.15 is: 1,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.13 : 4,385.37 = 843.15 : x
  2. Step 2: Convert to fraction form
    2,923.13/4,385.37 = 843.15/x
  3. Step 3: Cross multiply
    2,923.13x = 4,385.37 × 843.15
  4. Step 4: Simplify right side
    2,923.13x = 3,697,524.72
  5. Step 5: Solve for x
    x = 3,697,524.72/2,923.13
  6. Step 6: Final answer
    x = 1,264.92

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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.