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Finding the Fourth Proportional to 2,109.78, 2,911.68 and 1,165.65

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Solution

The fourth proportional to 2,109.78, 2,911.68 and 1,165.65 is: 1,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.78 : 2,911.68 = 1,165.65 : x
  2. Step 2: Convert to fraction form
    2,109.78/2,911.68 = 1,165.65/x
  3. Step 3: Cross multiply
    2,109.78x = 2,911.68 × 1,165.65
  4. Step 4: Simplify right side
    2,109.78x = 3,393,999.79
  5. Step 5: Solve for x
    x = 3,393,999.79/2,109.78
  6. Step 6: Final answer
    x = 1,608.70

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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.