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Finding the Fourth Proportional to 1,801.44, 2,481.84 and 1,505.52

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Solution

The fourth proportional to 1,801.44, 2,481.84 and 1,505.52 is: 2,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.44 : 2,481.84 = 1,505.52 : x
  2. Step 2: Convert to fraction form
    1,801.44/2,481.84 = 1,505.52/x
  3. Step 3: Cross multiply
    1,801.44x = 2,481.84 × 1,505.52
  4. Step 4: Simplify right side
    1,801.44x = 3,736,459.76
  5. Step 5: Solve for x
    x = 3,736,459.76/1,801.44
  6. Step 6: Final answer
    x = 2,074.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.