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Finding the Fourth Proportional to 2,802.94, 3,840.05 and 2,697.85

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Solution

The fourth proportional to 2,802.94, 3,840.05 and 2,697.85 is: 3,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.94 : 3,840.05 = 2,697.85 : x
  2. Step 2: Convert to fraction form
    2,802.94/3,840.05 = 2,697.85/x
  3. Step 3: Cross multiply
    2,802.94x = 3,840.05 × 2,697.85
  4. Step 4: Simplify right side
    2,802.94x = 10,359,859.69
  5. Step 5: Solve for x
    x = 10,359,859.69/2,802.94
  6. Step 6: Final answer
    x = 3,696.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.