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Finding the Fourth Proportional to 2,769.60, 3,810.42 and 2,292.11

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Solution

The fourth proportional to 2,769.60, 3,810.42 and 2,292.11 is: 3,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.60 : 3,810.42 = 2,292.11 : x
  2. Step 2: Convert to fraction form
    2,769.60/3,810.42 = 2,292.11/x
  3. Step 3: Cross multiply
    2,769.60x = 3,810.42 × 2,292.11
  4. Step 4: Simplify right side
    2,769.60x = 8,733,897.02
  5. Step 5: Solve for x
    x = 8,733,897.02/2,769.60
  6. Step 6: Final answer
    x = 3,153.48

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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.