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Finding the Fourth Proportional to 1,811.75, 2,717.45 and 580.05

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Solution

The fourth proportional to 1,811.75, 2,717.45 and 580.05 is: 870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.75 : 2,717.45 = 580.05 : x
  2. Step 2: Convert to fraction form
    1,811.75/2,717.45 = 580.05/x
  3. Step 3: Cross multiply
    1,811.75x = 2,717.45 × 580.05
  4. Step 4: Simplify right side
    1,811.75x = 1,576,253.97
  5. Step 5: Solve for x
    x = 1,576,253.97/1,811.75
  6. Step 6: Final answer
    x = 870.02

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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.