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Finding the Fourth Proportional to 2,446.94, 3,670.50 and 803.54

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Solution

The fourth proportional to 2,446.94, 3,670.50 and 803.54 is: 1,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.94 : 3,670.50 = 803.54 : x
  2. Step 2: Convert to fraction form
    2,446.94/3,670.50 = 803.54/x
  3. Step 3: Cross multiply
    2,446.94x = 3,670.50 × 803.54
  4. Step 4: Simplify right side
    2,446.94x = 2,949,393.57
  5. Step 5: Solve for x
    x = 2,949,393.57/2,446.94
  6. Step 6: Final answer
    x = 1,205.34

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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.