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Finding the Fourth Proportional to 3,175.94, 4,380.98 and 1,849.50

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Solution

The fourth proportional to 3,175.94, 4,380.98 and 1,849.50 is: 2,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.94 : 4,380.98 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    3,175.94/4,380.98 = 1,849.50/x
  3. Step 3: Cross multiply
    3,175.94x = 4,380.98 × 1,849.50
  4. Step 4: Simplify right side
    3,175.94x = 8,102,622.51
  5. Step 5: Solve for x
    x = 8,102,622.51/3,175.94
  6. Step 6: Final answer
    x = 2,551.25

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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.