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Finding the Fourth Proportional to 3,175.36, 4,763.45 and 984.22

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Solution

The fourth proportional to 3,175.36, 4,763.45 and 984.22 is: 1,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.36 : 4,763.45 = 984.22 : x
  2. Step 2: Convert to fraction form
    3,175.36/4,763.45 = 984.22/x
  3. Step 3: Cross multiply
    3,175.36x = 4,763.45 × 984.22
  4. Step 4: Simplify right side
    3,175.36x = 4,688,277.84
  5. Step 5: Solve for x
    x = 4,688,277.84/3,175.36
  6. Step 6: Final answer
    x = 1,476.46

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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.