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Finding the Fourth Proportional to 2,528.88, 3,489.84 and 1,409.82

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Solution

The fourth proportional to 2,528.88, 3,489.84 and 1,409.82 is: 1,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.88 : 3,489.84 = 1,409.82 : x
  2. Step 2: Convert to fraction form
    2,528.88/3,489.84 = 1,409.82/x
  3. Step 3: Cross multiply
    2,528.88x = 3,489.84 × 1,409.82
  4. Step 4: Simplify right side
    2,528.88x = 4,920,046.23
  5. Step 5: Solve for x
    x = 4,920,046.23/2,528.88
  6. Step 6: Final answer
    x = 1,945.54

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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.