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Finding the Fourth Proportional to 1,369.09, 1,889.49 and 1,019.17

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Solution

The fourth proportional to 1,369.09, 1,889.49 and 1,019.17 is: 1,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.09 : 1,889.49 = 1,019.17 : x
  2. Step 2: Convert to fraction form
    1,369.09/1,889.49 = 1,019.17/x
  3. Step 3: Cross multiply
    1,369.09x = 1,889.49 × 1,019.17
  4. Step 4: Simplify right side
    1,369.09x = 1,925,711.52
  5. Step 5: Solve for x
    x = 1,925,711.52/1,369.09
  6. Step 6: Final answer
    x = 1,406.56

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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.