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Finding the Fourth Proportional to 2,681.05, 3,699.98 and 1,618.80

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Solution

The fourth proportional to 2,681.05, 3,699.98 and 1,618.80 is: 2,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.05 : 3,699.98 = 1,618.80 : x
  2. Step 2: Convert to fraction form
    2,681.05/3,699.98 = 1,618.80/x
  3. Step 3: Cross multiply
    2,681.05x = 3,699.98 × 1,618.80
  4. Step 4: Simplify right side
    2,681.05x = 5,989,527.62
  5. Step 5: Solve for x
    x = 5,989,527.62/2,681.05
  6. Step 6: Final answer
    x = 2,234.02

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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.