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Finding the Fourth Proportional to 1,633.09, 2,253.81 and 934.51

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Solution

The fourth proportional to 1,633.09, 2,253.81 and 934.51 is: 1,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.09 : 2,253.81 = 934.51 : x
  2. Step 2: Convert to fraction form
    1,633.09/2,253.81 = 934.51/x
  3. Step 3: Cross multiply
    1,633.09x = 2,253.81 × 934.51
  4. Step 4: Simplify right side
    1,633.09x = 2,106,207.98
  5. Step 5: Solve for x
    x = 2,106,207.98/1,633.09
  6. Step 6: Final answer
    x = 1,289.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.