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Finding the Fourth Proportional to 2,803.69, 3,841.08 and 2,698.60

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Solution

The fourth proportional to 2,803.69, 3,841.08 and 2,698.60 is: 3,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.69 : 3,841.08 = 2,698.60 : x
  2. Step 2: Convert to fraction form
    2,803.69/3,841.08 = 2,698.60/x
  3. Step 3: Cross multiply
    2,803.69x = 3,841.08 × 2,698.60
  4. Step 4: Simplify right side
    2,803.69x = 10,365,538.49
  5. Step 5: Solve for x
    x = 10,365,538.49/2,803.69
  6. Step 6: Final answer
    x = 3,697.11

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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.