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Finding the Fourth Proportional to 1,375.19, 2,057.61 and 965.13

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Solution

The fourth proportional to 1,375.19, 2,057.61 and 965.13 is: 1,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.19 : 2,057.61 = 965.13 : x
  2. Step 2: Convert to fraction form
    1,375.19/2,057.61 = 965.13/x
  3. Step 3: Cross multiply
    1,375.19x = 2,057.61 × 965.13
  4. Step 4: Simplify right side
    1,375.19x = 1,985,861.14
  5. Step 5: Solve for x
    x = 1,985,861.14/1,375.19
  6. Step 6: Final answer
    x = 1,444.06

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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.