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Finding the Fourth Proportional to 3,175.90, 4,763.71 and 867.40

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Solution

The fourth proportional to 3,175.90, 4,763.71 and 867.40 is: 1,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.90 : 4,763.71 = 867.40 : x
  2. Step 2: Convert to fraction form
    3,175.90/4,763.71 = 867.40/x
  3. Step 3: Cross multiply
    3,175.90x = 4,763.71 × 867.40
  4. Step 4: Simplify right side
    3,175.90x = 4,132,042.05
  5. Step 5: Solve for x
    x = 4,132,042.05/3,175.90
  6. Step 6: Final answer
    x = 1,301.06

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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.