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Finding the Fourth Proportional to 1,719.24, 2,578.83 and 420.72

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Solution

The fourth proportional to 1,719.24, 2,578.83 and 420.72 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.24 : 2,578.83 = 420.72 : x
  2. Step 2: Convert to fraction form
    1,719.24/2,578.83 = 420.72/x
  3. Step 3: Cross multiply
    1,719.24x = 2,578.83 × 420.72
  4. Step 4: Simplify right side
    1,719.24x = 1,084,965.36
  5. Step 5: Solve for x
    x = 1,084,965.36/1,719.24
  6. Step 6: Final answer
    x = 631.07

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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.