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Finding the Fourth Proportional to 3,119.97, 4,677.06 and 1,170.93

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Solution

The fourth proportional to 3,119.97, 4,677.06 and 1,170.93 is: 1,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.97 : 4,677.06 = 1,170.93 : x
  2. Step 2: Convert to fraction form
    3,119.97/4,677.06 = 1,170.93/x
  3. Step 3: Cross multiply
    3,119.97x = 4,677.06 × 1,170.93
  4. Step 4: Simplify right side
    3,119.97x = 5,476,509.87
  5. Step 5: Solve for x
    x = 5,476,509.87/3,119.97
  6. Step 6: Final answer
    x = 1,755.31

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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.