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Finding the Fourth Proportional to 2,450.16, 3,674.96 and 695.32

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Solution

The fourth proportional to 2,450.16, 3,674.96 and 695.32 is: 1,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.16 : 3,674.96 = 695.32 : x
  2. Step 2: Convert to fraction form
    2,450.16/3,674.96 = 695.32/x
  3. Step 3: Cross multiply
    2,450.16x = 3,674.96 × 695.32
  4. Step 4: Simplify right side
    2,450.16x = 2,555,276.91
  5. Step 5: Solve for x
    x = 2,555,276.91/2,450.16
  6. Step 6: Final answer
    x = 1,042.90

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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.