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Finding the Fourth Proportional to 2,536, 3,803.88 and 804.40

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Solution

The fourth proportional to 2,536, 3,803.88 and 804.40 is: 1,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536 : 3,803.88 = 804.40 : x
  2. Step 2: Convert to fraction form
    2,536/3,803.88 = 804.40/x
  3. Step 3: Cross multiply
    2,536x = 3,803.88 × 804.40
  4. Step 4: Simplify right side
    2,536x = 3,059,841.07
  5. Step 5: Solve for x
    x = 3,059,841.07/2,536
  6. Step 6: Final answer
    x = 1,206.56

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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.