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Finding the Fourth Proportional to 3,175.41, 4,763.43 and 1,095.14

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Solution

The fourth proportional to 3,175.41, 4,763.43 and 1,095.14 is: 1,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.41 : 4,763.43 = 1,095.14 : x
  2. Step 2: Convert to fraction form
    3,175.41/4,763.43 = 1,095.14/x
  3. Step 3: Cross multiply
    3,175.41x = 4,763.43 × 1,095.14
  4. Step 4: Simplify right side
    3,175.41x = 5,216,598.91
  5. Step 5: Solve for x
    x = 5,216,598.91/3,175.41
  6. Step 6: Final answer
    x = 1,642.81

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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.