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Finding the Fourth Proportional to 1,813.83, 2,719.39 and 580.53

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Solution

The fourth proportional to 1,813.83, 2,719.39 and 580.53 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.83 : 2,719.39 = 580.53 : x
  2. Step 2: Convert to fraction form
    1,813.83/2,719.39 = 580.53/x
  3. Step 3: Cross multiply
    1,813.83x = 2,719.39 × 580.53
  4. Step 4: Simplify right side
    1,813.83x = 1,578,687.48
  5. Step 5: Solve for x
    x = 1,578,687.48/1,813.83
  6. Step 6: Final answer
    x = 870.36

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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.