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Finding the Fourth Proportional to 1,835.07, 2,751.41 and 861.63

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Solution

The fourth proportional to 1,835.07, 2,751.41 and 861.63 is: 1,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.07 : 2,751.41 = 861.63 : x
  2. Step 2: Convert to fraction form
    1,835.07/2,751.41 = 861.63/x
  3. Step 3: Cross multiply
    1,835.07x = 2,751.41 × 861.63
  4. Step 4: Simplify right side
    1,835.07x = 2,370,693.09
  5. Step 5: Solve for x
    x = 2,370,693.09/1,835.07
  6. Step 6: Final answer
    x = 1,291.88

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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.