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Finding the Fourth Proportional to 1,519.70, 2,095.27 and 1,239.64

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Solution

The fourth proportional to 1,519.70, 2,095.27 and 1,239.64 is: 1,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.70 : 2,095.27 = 1,239.64 : x
  2. Step 2: Convert to fraction form
    1,519.70/2,095.27 = 1,239.64/x
  3. Step 3: Cross multiply
    1,519.70x = 2,095.27 × 1,239.64
  4. Step 4: Simplify right side
    1,519.70x = 2,597,372.17
  5. Step 5: Solve for x
    x = 2,597,372.17/1,519.70
  6. Step 6: Final answer
    x = 1,709.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.