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Finding the Fourth Proportional to 1,835.82, 2,754.19 and 860.79

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Solution

The fourth proportional to 1,835.82, 2,754.19 and 860.79 is: 1,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.82 : 2,754.19 = 860.79 : x
  2. Step 2: Convert to fraction form
    1,835.82/2,754.19 = 860.79/x
  3. Step 3: Cross multiply
    1,835.82x = 2,754.19 × 860.79
  4. Step 4: Simplify right side
    1,835.82x = 2,370,761.14
  5. Step 5: Solve for x
    x = 2,370,761.14/1,835.82
  6. Step 6: Final answer
    x = 1,291.39

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1.5x scale

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.