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Finding the Fourth Proportional to 2,535.74, 3,803.62 and 804.50

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Solution

The fourth proportional to 2,535.74, 3,803.62 and 804.50 is: 1,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.74 : 3,803.62 = 804.50 : x
  2. Step 2: Convert to fraction form
    2,535.74/3,803.62 = 804.50/x
  3. Step 3: Cross multiply
    2,535.74x = 3,803.62 × 804.50
  4. Step 4: Simplify right side
    2,535.74x = 3,060,012.29
  5. Step 5: Solve for x
    x = 3,060,012.29/2,535.74
  6. Step 6: Final answer
    x = 1,206.75

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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.