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Finding the Fourth Proportional to 1,885.56, 2,601.09 and 1,139.10

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Solution

The fourth proportional to 1,885.56, 2,601.09 and 1,139.10 is: 1,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.56 : 2,601.09 = 1,139.10 : x
  2. Step 2: Convert to fraction form
    1,885.56/2,601.09 = 1,139.10/x
  3. Step 3: Cross multiply
    1,885.56x = 2,601.09 × 1,139.10
  4. Step 4: Simplify right side
    1,885.56x = 2,962,901.62
  5. Step 5: Solve for x
    x = 2,962,901.62/1,885.56
  6. Step 6: Final answer
    x = 1,571.36

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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.