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Finding the Fourth Proportional to 1,827.46, 2,740.83 and 657.43

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Solution

The fourth proportional to 1,827.46, 2,740.83 and 657.43 is: 986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.46 : 2,740.83 = 657.43 : x
  2. Step 2: Convert to fraction form
    1,827.46/2,740.83 = 657.43/x
  3. Step 3: Cross multiply
    1,827.46x = 2,740.83 × 657.43
  4. Step 4: Simplify right side
    1,827.46x = 1,801,903.87
  5. Step 5: Solve for x
    x = 1,801,903.87/1,827.46
  6. Step 6: Final answer
    x = 986.02

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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.