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Finding the Fourth Proportional to 2,254.63, 3,382.13 and 694.51

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Solution

The fourth proportional to 2,254.63, 3,382.13 and 694.51 is: 1,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.63 : 3,382.13 = 694.51 : x
  2. Step 2: Convert to fraction form
    2,254.63/3,382.13 = 694.51/x
  3. Step 3: Cross multiply
    2,254.63x = 3,382.13 × 694.51
  4. Step 4: Simplify right side
    2,254.63x = 2,348,923.11
  5. Step 5: Solve for x
    x = 2,348,923.11/2,254.63
  6. Step 6: Final answer
    x = 1,041.82

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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.