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Finding the Fourth Proportional to 2,528.73, 3,489.49 and 1,409.76

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Solution

The fourth proportional to 2,528.73, 3,489.49 and 1,409.76 is: 1,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.73 : 3,489.49 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    2,528.73/3,489.49 = 1,409.76/x
  3. Step 3: Cross multiply
    2,528.73x = 3,489.49 × 1,409.76
  4. Step 4: Simplify right side
    2,528.73x = 4,919,343.42
  5. Step 5: Solve for x
    x = 4,919,343.42/2,528.73
  6. Step 6: Final answer
    x = 1,945.38

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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.