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Finding the Fourth Proportional to 4,652.45, 6,981.23 and 1,843.00

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Solution

The fourth proportional to 4,652.45, 6,981.23 and 1,843.00 is: 2,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.45 : 6,981.23 = 1,843.00 : x
  2. Step 2: Convert to fraction form
    4,652.45/6,981.23 = 1,843.00/x
  3. Step 3: Cross multiply
    4,652.45x = 6,981.23 × 1,843.00
  4. Step 4: Simplify right side
    4,652.45x = 12,866,380.22
  5. Step 5: Solve for x
    x = 12,866,380.22/4,652.45
  6. Step 6: Final answer
    x = 2,765.50

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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.