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Finding the Fourth Proportional to 2,803.11, 3,840.29 and 2,698.02

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Solution

The fourth proportional to 2,803.11, 3,840.29 and 2,698.02 is: 3,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.11 : 3,840.29 = 2,698.02 : x
  2. Step 2: Convert to fraction form
    2,803.11/3,840.29 = 2,698.02/x
  3. Step 3: Cross multiply
    2,803.11x = 3,840.29 × 2,698.02
  4. Step 4: Simplify right side
    2,803.11x = 10,361,157.46
  5. Step 5: Solve for x
    x = 10,361,157.46/2,803.11
  6. Step 6: Final answer
    x = 3,696.30

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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.