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Finding the Fourth Proportional to 1,771.51, 2,649.96 and 1,611.13

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Solution

The fourth proportional to 1,771.51, 2,649.96 and 1,611.13 is: 2,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.51 : 2,649.96 = 1,611.13 : x
  2. Step 2: Convert to fraction form
    1,771.51/2,649.96 = 1,611.13/x
  3. Step 3: Cross multiply
    1,771.51x = 2,649.96 × 1,611.13
  4. Step 4: Simplify right side
    1,771.51x = 4,269,430.05
  5. Step 5: Solve for x
    x = 4,269,430.05/1,771.51
  6. Step 6: Final answer
    x = 2,410.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.