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Finding the Fourth Proportional to 2,154.56, 2,974.56 and 1,369.28

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Solution

The fourth proportional to 2,154.56, 2,974.56 and 1,369.28 is: 1,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.56 : 2,974.56 = 1,369.28 : x
  2. Step 2: Convert to fraction form
    2,154.56/2,974.56 = 1,369.28/x
  3. Step 3: Cross multiply
    2,154.56x = 2,974.56 × 1,369.28
  4. Step 4: Simplify right side
    2,154.56x = 4,073,005.52
  5. Step 5: Solve for x
    x = 4,073,005.52/2,154.56
  6. Step 6: Final answer
    x = 1,890.41

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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.