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Finding the Fourth Proportional to 1,719.24, 2,578.35 and 732.05

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Solution

The fourth proportional to 1,719.24, 2,578.35 and 732.05 is: 1,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.24 : 2,578.35 = 732.05 : x
  2. Step 2: Convert to fraction form
    1,719.24/2,578.35 = 732.05/x
  3. Step 3: Cross multiply
    1,719.24x = 2,578.35 × 732.05
  4. Step 4: Simplify right side
    1,719.24x = 1,887,468.23
  5. Step 5: Solve for x
    x = 1,887,468.23/1,719.24
  6. Step 6: Final answer
    x = 1,097.85

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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.