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Finding the Fourth Proportional to 2,117.45, 3,175.17 and 636.11

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Solution

The fourth proportional to 2,117.45, 3,175.17 and 636.11 is: 953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.45 : 3,175.17 = 636.11 : x
  2. Step 2: Convert to fraction form
    2,117.45/3,175.17 = 636.11/x
  3. Step 3: Cross multiply
    2,117.45x = 3,175.17 × 636.11
  4. Step 4: Simplify right side
    2,117.45x = 2,019,741.51
  5. Step 5: Solve for x
    x = 2,019,741.51/2,117.45
  6. Step 6: Final answer
    x = 953.86

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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.