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Finding the Fourth Proportional to 1,835.94, 2,754.30 and 861.50

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Solution

The fourth proportional to 1,835.94, 2,754.30 and 861.50 is: 1,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.94 : 2,754.30 = 861.50 : x
  2. Step 2: Convert to fraction form
    1,835.94/2,754.30 = 861.50/x
  3. Step 3: Cross multiply
    1,835.94x = 2,754.30 × 861.50
  4. Step 4: Simplify right side
    1,835.94x = 2,372,829.45
  5. Step 5: Solve for x
    x = 2,372,829.45/1,835.94
  6. Step 6: Final answer
    x = 1,292.43

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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.