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Finding the Fourth Proportional to 1,889.54, 2,832.42 and 719.25

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Solution

The fourth proportional to 1,889.54, 2,832.42 and 719.25 is: 1,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.54 : 2,832.42 = 719.25 : x
  2. Step 2: Convert to fraction form
    1,889.54/2,832.42 = 719.25/x
  3. Step 3: Cross multiply
    1,889.54x = 2,832.42 × 719.25
  4. Step 4: Simplify right side
    1,889.54x = 2,037,206.11
  5. Step 5: Solve for x
    x = 2,037,206.11/1,889.54
  6. Step 6: Final answer
    x = 1,078.15

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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.