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Finding the Fourth Proportional to 1,813.56, 2,719.56 and 580.56

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Solution

The fourth proportional to 1,813.56, 2,719.56 and 580.56 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.56 : 2,719.56 = 580.56 : x
  2. Step 2: Convert to fraction form
    1,813.56/2,719.56 = 580.56/x
  3. Step 3: Cross multiply
    1,813.56x = 2,719.56 × 580.56
  4. Step 4: Simplify right side
    1,813.56x = 1,578,867.75
  5. Step 5: Solve for x
    x = 1,578,867.75/1,813.56
  6. Step 6: Final answer
    x = 870.59

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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.