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Finding the Fourth Proportional to 2,110.31, 3,165.55 and 793.93

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Solution

The fourth proportional to 2,110.31, 3,165.55 and 793.93 is: 1,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.31 : 3,165.55 = 793.93 : x
  2. Step 2: Convert to fraction form
    2,110.31/3,165.55 = 793.93/x
  3. Step 3: Cross multiply
    2,110.31x = 3,165.55 × 793.93
  4. Step 4: Simplify right side
    2,110.31x = 2,513,225.11
  5. Step 5: Solve for x
    x = 2,513,225.11/2,110.31
  6. Step 6: Final answer
    x = 1,190.93

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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.