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Finding the Fourth Proportional to 1,763.79, 2,433.27 and 1,174.51

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Solution

The fourth proportional to 1,763.79, 2,433.27 and 1,174.51 is: 1,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.79 : 2,433.27 = 1,174.51 : x
  2. Step 2: Convert to fraction form
    1,763.79/2,433.27 = 1,174.51/x
  3. Step 3: Cross multiply
    1,763.79x = 2,433.27 × 1,174.51
  4. Step 4: Simplify right side
    1,763.79x = 2,857,899.95
  5. Step 5: Solve for x
    x = 2,857,899.95/1,763.79
  6. Step 6: Final answer
    x = 1,620.32

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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.