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Finding the Fourth Proportional to 2,153.58, 3,230.58 and 854.76

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Solution

The fourth proportional to 2,153.58, 3,230.58 and 854.76 is: 1,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.58 : 3,230.58 = 854.76 : x
  2. Step 2: Convert to fraction form
    2,153.58/3,230.58 = 854.76/x
  3. Step 3: Cross multiply
    2,153.58x = 3,230.58 × 854.76
  4. Step 4: Simplify right side
    2,153.58x = 2,761,370.56
  5. Step 5: Solve for x
    x = 2,761,370.56/2,153.58
  6. Step 6: Final answer
    x = 1,282.22

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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.