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Finding the Fourth Proportional to 2,109.51, 3,165.39 and 794.16

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Solution

The fourth proportional to 2,109.51, 3,165.39 and 794.16 is: 1,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.51 : 3,165.39 = 794.16 : x
  2. Step 2: Convert to fraction form
    2,109.51/3,165.39 = 794.16/x
  3. Step 3: Cross multiply
    2,109.51x = 3,165.39 × 794.16
  4. Step 4: Simplify right side
    2,109.51x = 2,513,826.12
  5. Step 5: Solve for x
    x = 2,513,826.12/2,109.51
  6. Step 6: Final answer
    x = 1,191.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.