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Finding the Fourth Proportional to 2,535.88, 3,803.92 and 804.50

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Solution

The fourth proportional to 2,535.88, 3,803.92 and 804.50 is: 1,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.88 : 3,803.92 = 804.50 : x
  2. Step 2: Convert to fraction form
    2,535.88/3,803.92 = 804.50/x
  3. Step 3: Cross multiply
    2,535.88x = 3,803.92 × 804.50
  4. Step 4: Simplify right side
    2,535.88x = 3,060,253.64
  5. Step 5: Solve for x
    x = 3,060,253.64/2,535.88
  6. Step 6: Final answer
    x = 1,206.78

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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.