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Finding the Fourth Proportional to 1,719.30, 2,578.66 and 486.42

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Solution

The fourth proportional to 1,719.30, 2,578.66 and 486.42 is: 729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.30 : 2,578.66 = 486.42 : x
  2. Step 2: Convert to fraction form
    1,719.30/2,578.66 = 486.42/x
  3. Step 3: Cross multiply
    1,719.30x = 2,578.66 × 486.42
  4. Step 4: Simplify right side
    1,719.30x = 1,254,311.80
  5. Step 5: Solve for x
    x = 1,254,311.80/1,719.30
  6. Step 6: Final answer
    x = 729.55

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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.