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Finding the Fourth Proportional to 3,175.51, 4,763.40 and 1,200.95

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Solution

The fourth proportional to 3,175.51, 4,763.40 and 1,200.95 is: 1,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.51 : 4,763.40 = 1,200.95 : x
  2. Step 2: Convert to fraction form
    3,175.51/4,763.40 = 1,200.95/x
  3. Step 3: Cross multiply
    3,175.51x = 4,763.40 × 1,200.95
  4. Step 4: Simplify right side
    3,175.51x = 5,720,593.32
  5. Step 5: Solve for x
    x = 5,720,593.32/3,175.51
  6. Step 6: Final answer
    x = 1,801.47

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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.