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Finding the Fourth Proportional to 2,375.16, 3,561.93 and 914.82

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Solution

The fourth proportional to 2,375.16, 3,561.93 and 914.82 is: 1,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.16 : 3,561.93 = 914.82 : x
  2. Step 2: Convert to fraction form
    2,375.16/3,561.93 = 914.82/x
  3. Step 3: Cross multiply
    2,375.16x = 3,561.93 × 914.82
  4. Step 4: Simplify right side
    2,375.16x = 3,258,524.80
  5. Step 5: Solve for x
    x = 3,258,524.80/2,375.16
  6. Step 6: Final answer
    x = 1,371.92

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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.