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Finding the Fourth Proportional to 2,276.97, 3,415.43 and 633.51

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Solution

The fourth proportional to 2,276.97, 3,415.43 and 633.51 is: 950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.97 : 3,415.43 = 633.51 : x
  2. Step 2: Convert to fraction form
    2,276.97/3,415.43 = 633.51/x
  3. Step 3: Cross multiply
    2,276.97x = 3,415.43 × 633.51
  4. Step 4: Simplify right side
    2,276.97x = 2,163,703.05
  5. Step 5: Solve for x
    x = 2,163,703.05/2,276.97
  6. Step 6: Final answer
    x = 950.26

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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.